13624049664 has 384 divisors, whose sum is σ = 42938532000. Its totient is φ = 4310433792.

The previous prime is 13624049657. The next prime is 13624049671. The reversal of 13624049664 is 46694042631.

13624049664 is a `hidden beast` number, since 1 + 3 + 62 + 40 + 496 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (13624049657) and next prime (13624049671).

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

It is a super-2 number, since 2×13624049664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230916067 + ... + 230916125.

Almost surely, 2^13624049664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13624049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469266000).

13624049664 is an abundant number, since it is smaller than the sum of its proper divisors (29314482336).

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

13624049664 is an frugal number, since it uses more digits than its factorization.

13624049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13624049664 in words is "thirteen billion, six hundred twenty-four million, forty-nine thousand, six hundred sixty-four".