13657362048 has 384 divisors, whose sum is σ = 44910028800. Its totient is φ = 4097018880.

The previous prime is 13657362007. The next prime is 13657362071. The reversal of 13657362048 is 84026375631.

13657362048 is a `hidden beast` number, since 1 + 36 + 573 + 6 + 2 + 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 2×13657362048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13657361994 and 13657362012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61243665 + ... + 61243887.

It is an arithmetic number, because the mean of its divisors is an integer number (116953200).

Almost surely, 2^13657362048 is an apocalyptic number.

13657362048 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 13657362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

13657362048 is an abundant number, since it is smaller than the sum of its proper divisors (31252666752).

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

13657362048 is a wasteful number, since it uses less digits than its factorization.

13657362048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13657362048 in words is "thirteen billion, six hundred fifty-seven million, three hundred sixty-two thousand, forty-eight".