214253579904 has 256 divisors, whose sum is σ = 701148000000. Its totient is φ = 56449695744.

The previous prime is 214253579887. The next prime is 214253579927. The reversal of 214253579904 is 409975352412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43642602 + ... + 43647510.

It is an arithmetic number, because the mean of its divisors is an integer number (2738859375).

Almost surely, 2^214253579904 is an apocalyptic number.

214253579904 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 214253579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350574000000).

214253579904 is an abundant number, since it is smaller than the sum of its proper divisors (486894420096).

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

214253579904 is a wasteful number, since it uses less digits than its factorization.

214253579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 214253579904 in words is "two hundred fourteen billion, two hundred fifty-three million, five hundred seventy-nine thousand, nine hundred four".