214253079264 has 720 divisors, whose sum is σ = 786132547200. Its totient is φ = 55917775872.

The previous prime is 214253079263. The next prime is 214253079269. The reversal of 214253079264 is 462970352412.

214253079264 is a `hidden beast` number, since 2 + 1 + 42 + 530 + 79 + 2 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214253079263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 289922607 + ... + 289923345.

It is an arithmetic number, because the mean of its divisors is an integer number (1091850760).

Almost surely, 2^214253079264 is an apocalyptic number.

214253079264 is a gapful number since it is divisible by the number (24) 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 214253079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393066273600).

214253079264 is an abundant number, since it is smaller than the sum of its proper divisors (571879467936).

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

214253079264 is a wasteful number, since it uses less digits than its factorization.

214253079264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 214253079264 in words is "two hundred fourteen billion, two hundred fifty-three million, seventy-nine thousand, two hundred sixty-four".