149726452506624 has 1008 divisors, whose sum is σ = 516580707621888. Its totient is φ = 42504980594688.

The previous prime is 149726452506623. The next prime is 149726452506731. The reversal of 149726452506624 is 426605254627941.

149726452506624 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 2 + 64 + 5 + 2 + 506 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (149726452506623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62831074137 + ... + 62831076519.

It is an arithmetic number, because the mean of its divisors is an integer number (512480860736).

Almost surely, 2^{149726452506624} is an apocalyptic number.

149726452506624 is a gapful number since it is divisible by the number (14) 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 149726452506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258290353810944).

149726452506624 is an abundant number, since it is smaller than the sum of its proper divisors (366854255115264).

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

149726452506624 is an frugal number, since it uses more digits than its factorization.

149726452506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 149726452506624 in words is "one hundred forty-nine trillion, seven hundred twenty-six billion, four hundred fifty-two million, five hundred six thousand, six hundred twenty-four".