214525853568 has 320 divisors, whose sum is σ = 688843552320. Its totient is φ = 65882419200.

The previous prime is 214525853527. The next prime is 214525853599. The reversal of 214525853568 is 865358525412.

214525853568 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 2 + 585 + 3 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91247593 + ... + 91249943.

It is an arithmetic number, because the mean of its divisors is an integer number (2152636101).

Almost surely, 2^214525853568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214525853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344421776160).

214525853568 is an abundant number, since it is smaller than the sum of its proper divisors (474317698752).

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

214525853568 is a wasteful number, since it uses less digits than its factorization.

214525853568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3046 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 214525853568 in words is "two hundred fourteen billion, five hundred twenty-five million, eight hundred fifty-three thousand, five hundred sixty-eight".