914016866400 has 864 divisors, whose sum is σ = 3577787006976. Its totient is φ = 219542400000.

The previous prime is 914016866381. The next prime is 914016866407. The reversal of 914016866400 is 4668610419.

914016866400 is a `hidden beast` number, since 91 + 40 + 1 + 68 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914016866407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1217066025 + ... + 1217066775.

It is an arithmetic number, because the mean of its divisors is an integer number (4140957184).

Almost surely, 2^914016866400 is an apocalyptic number.

914016866400 is a gapful number since it is divisible by the number (90) 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 914016866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788893503488).

914016866400 is an abundant number, since it is smaller than the sum of its proper divisors (2663770140576).

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

914016866400 is a wasteful number, since it uses less digits than its factorization.

914016866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 914016866400 in words is "nine hundred fourteen billion, sixteen million, eight hundred sixty-six thousand, four hundred".