14113024015464 has 192 divisors, whose sum is σ = 44826058368000. Its totient is φ = 3965381688960.

The previous prime is 14113024015459. The next prime is 14113024015543. The reversal of 14113024015464 is 46451042031141.

14113024015464 is a `hidden beast` number, since 1 + 41 + 1 + 30 + 2 + 40 + 1 + 546 + 4 = 666.

It is a super-2 number, since 2×14113024015464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9270054 + ... + 10684565.

It is an arithmetic number, because the mean of its divisors is an integer number (233469054000).

Almost surely, 2^{14113024015464} is an apocalyptic number.

It is an amenable number.

14113024015464 is an abundant number, since it is smaller than the sum of its proper divisors (30713034352536).

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

14113024015464 is a wasteful number, since it uses less digits than its factorization.

14113024015464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19954708 (or 19954701 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14113024015464 in words is "fourteen trillion, one hundred thirteen billion, twenty-four million, fifteen thousand, four hundred sixty-four".