15451681152 has 256 divisors, whose sum is σ = 44564567040. Its totient is φ = 4730880000.

The previous prime is 15451681127. The next prime is 15451681171. The reversal of 15451681152 is 25118615451.

It is a self number, because there is not a number n which added to its sum of digits gives 15451681152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25709652 + ... + 25710252.

It is an arithmetic number, because the mean of its divisors is an integer number (174080340).

Almost surely, 2^15451681152 is an apocalyptic number.

15451681152 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 15451681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282283520).

15451681152 is an abundant number, since it is smaller than the sum of its proper divisors (29112885888).

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

15451681152 is a wasteful number, since it uses less digits than its factorization.

15451681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its digits is 48000, while the sum is 39.

The spelling of 15451681152 in words is "fifteen billion, four hundred fifty-one million, six hundred eighty-one thousand, one hundred fifty-two".