15338480256 has 192 divisors, whose sum is σ = 48942447840. Its totient is φ = 4571596800.

The previous prime is 15338480239. The next prime is 15338480257. The reversal of 15338480256 is 65208483351.

15338480256 is a `hidden beast` number, since 15 + 3 + 384 + 8 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (15338480257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763071 + ... + 782913.

Almost surely, 2^15338480256 is an apocalyptic number.

15338480256 is a gapful number since it is divisible by the number (16) 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 15338480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471223920).

15338480256 is an abundant number, since it is smaller than the sum of its proper divisors (33603967584).

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

15338480256 is a wasteful number, since it uses less digits than its factorization.

15338480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19935 (or 19920 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

It can be divided in two parts, 15338 and 480256, that added together give a palindrome (495594).

The spelling of 15338480256 in words is "fifteen billion, three hundred thirty-eight million, four hundred eighty thousand, two hundred fifty-six".