16360456464 has 675 divisors, whose sum is σ = 58352847861. Its totient is φ = 4420500480.

The previous prime is 16360456457. The next prime is 16360456471. The reversal of 16360456464 is 46465406361.

The square root of 16360456464 is 127908.

It is a perfect power (a square), and thus also a powerful number.

16360456464 is a `hidden beast` number, since 1 + 636 + 0 + 4 + 5 + 6 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16360456457) and next prime (16360456471).

It can be written as a sum of positive squares in only one way, i.e., 12737379600 + 3623076864 = 112860^2 + 60192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 861076647 + ... + 861076665.

Almost surely, 2^16360456464 is an apocalyptic number.

16360456464 is the 127908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16360456464

16360456464 is an abundant number, since it is smaller than the sum of its proper divisors (41992391397).

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

16360456464 is a wasteful number, since it uses less digits than its factorization.

16360456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 16360456464 in words is "sixteen billion, three hundred sixty million, four hundred fifty-six thousand, four hundred sixty-four".