149818693756032 has 768 divisors, whose sum is σ = 506507601600000. Its totient is φ = 42487569653760.

The previous prime is 149818693756031. The next prime is 149818693756033. The reversal of 149818693756032 is 230657396818941.

149818693756032 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 1 + 8 + 6 + 9 + 3 + 7 + 5 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (149818693756031) and next prime (149818693756033).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (149818693756031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36249379438 + ... + 36249383570.

It is an arithmetic number, because the mean of its divisors is an integer number (659515106250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅149818693756032 = 299637387512064, but 3⋅149818693756032 = 449456081268096 is not.

Almost surely, 2^{149818693756032} is an apocalyptic number.

149818693756032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149818693756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253253800800000).

149818693756032 is an abundant number, since it is smaller than the sum of its proper divisors (356688907843968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149818693756032 is a wasteful number, since it uses less digits than its factorization.

149818693756032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 149818693756032 in words is "one hundred forty-nine trillion, eight hundred eighteen billion, six hundred ninety-three million, seven hundred fifty-six thousand, thirty-two".