149345894880 has 1728 divisors, whose sum is σ = 696158281728. Its totient is φ = 29501521920.

The previous prime is 149345894879. The next prime is 149345894881. The reversal of 149345894880 is 88498543941.

149345894880 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 4 + 589 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149345894879) and next prime (149345894881).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149345894881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 781915585 + ... + 781915775.

It is an arithmetic number, because the mean of its divisors is an integer number (402869376).

Almost surely, 2^149345894880 is an apocalyptic number.

149345894880 is a gapful number since it is divisible by the number (10) 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 149345894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348079140864).

149345894880 is an abundant number, since it is smaller than the sum of its proper divisors (546812386848).

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

149345894880 is a wasteful number, since it uses less digits than its factorization.

149345894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 149345894880 in words is "one hundred forty-nine billion, three hundred forty-five million, eight hundred ninety-four thousand, eight hundred eighty".