214964305920 has 1360 divisors, whose sum is σ = 959188063680. Its totient is φ = 44845498368.

The previous prime is 214964305909. The next prime is 214964305943. The reversal of 214964305920 is 29503469412.

214964305920 is a `hidden beast` number, since 2 + 14 + 9 + 6 + 43 + 0 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2415329236 + ... + 2415329324.

Almost surely, 2^214964305920 is an apocalyptic number.

214964305920 is a gapful number since it is divisible by the number (20) 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 214964305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479594031840).

214964305920 is an abundant number, since it is smaller than the sum of its proper divisors (744223757760).

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

214964305920 is an frugal number, since it uses more digits than its factorization.

214964305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 214964305920 in words is "two hundred fourteen billion, nine hundred sixty-four million, three hundred five thousand, nine hundred twenty".