16315294464 has 216 divisors, whose sum is σ = 54320608160. Its totient is φ = 4613013504.

The previous prime is 16315294447. The next prime is 16315294483. The reversal of 16315294464 is 46449251361.

16315294464 is a `hidden beast` number, since 1 + 6 + 315 + 294 + 46 + 4 = 666.

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, 1559202 + ... + 1569630.

Almost surely, 2^16315294464 is an apocalyptic number.

16315294464 is a gapful number since it is divisible by the number (14) 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 16315294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27160304080).

16315294464 is an abundant number, since it is smaller than the sum of its proper divisors (38005313696).

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

16315294464 is a wasteful number, since it uses less digits than its factorization.

16315294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10538 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 16315294464 in words is "sixteen billion, three hundred fifteen million, two hundred ninety-four thousand, four hundred sixty-four".