15552268242048 has 384 divisors, whose sum is σ = 47523771048000. Its totient is φ = 4868157210624.

The previous prime is 15552268241903. The next prime is 15552268242059. The reversal of 15552268242048 is 84024286225551.

15552268242048 is a `hidden beast` number, since 1 + 5 + 552 + 2 + 6 + 8 + 2 + 42 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×15552268242048² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15552268241985 and 15552268242003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195494168 + ... + 1195507176.

Almost surely, 2^{15552268242048} is an apocalyptic number.

15552268242048 is a gapful number since it is divisible by the number (18) 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 15552268242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761885524000).

15552268242048 is an abundant number, since it is smaller than the sum of its proper divisors (31971502805952).

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

15552268242048 is a wasteful number, since it uses less digits than its factorization.

15552268242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 15552268242048 in words is "fifteen trillion, five hundred fifty-two billion, two hundred sixty-eight million, two hundred forty-two thousand, forty-eight".