15338363083200 has 840 divisors, whose sum is σ = 58418233462512. Its totient is φ = 3944325611520.

The previous prime is 15338363083187. The next prime is 15338363083223. The reversal of 15338363083200 is 238036383351.

It is a happy number.

15338363083200 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 8 + 3 + 630 + 8 + 3 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×15338363083200² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 541843447 + ... + 541871753.

Almost surely, 2^{15338363083200} is an apocalyptic number.

15338363083200 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 15338363083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29209116731256).

15338363083200 is an abundant number, since it is smaller than the sum of its proper divisors (43079870379312).

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

15338363083200 is a wasteful number, since it uses less digits than its factorization.

15338363083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28491 (or 28467 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 15338363083200 in words is "fifteen trillion, three hundred thirty-eight billion, three hundred sixty-three million, eighty-three thousand, two hundred".