15068132352 has 704 divisors, whose sum is σ = 56453967360. Its totient is φ = 3864526848.

The previous prime is 15068132351. The next prime is 15068132357. The reversal of 15068132352 is 25323186051.

15068132352 is a `hidden beast` number, since 1 + 506 + 81 + 3 + 23 + 52 = 666.

It is a super-2 number, since 2×15068132352² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15068132351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133346248 + ... + 133346360.

Almost surely, 2^15068132352 is an apocalyptic number.

15068132352 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 15068132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226983680).

15068132352 is an abundant number, since it is smaller than the sum of its proper divisors (41385835008).

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

15068132352 is a wasteful number, since it uses less digits than its factorization.

15068132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 15068132352 in words is "fifteen billion, sixty-eight million, one hundred thirty-two thousand, three hundred fifty-two".