916427004864 has 448 divisors, whose sum is σ = 3040002048000. Its totient is φ = 242762075136.

The previous prime is 916427004853. The next prime is 916427004869. The reversal of 916427004864 is 468400724619.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916427004869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58801617 + ... + 58817199.

Almost surely, 2^916427004864 is an apocalyptic number.

916427004864 is a gapful number since it is divisible by the number (94) 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 916427004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520001024000).

916427004864 is an abundant number, since it is smaller than the sum of its proper divisors (2123575043136).

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

916427004864 is a wasteful number, since it uses less digits than its factorization.

916427004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15685 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 916427004864 in words is "nine hundred sixteen billion, four hundred twenty-seven million, four thousand, eight hundred sixty-four".