214182506949264 has 120 divisors (see below), whose sum is σ = 685199016545472. Its totient is φ = 61181158821120.

The previous prime is 214182506949199. The next prime is 214182506949311. The reversal of 214182506949264 is 462949605281412.

214182506949264 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 8 + 25 + 0 + 69 + 492 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19574694 + ... + 28487429.

Almost surely, 2^{214182506949264} is an apocalyptic number.

214182506949264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214182506949264 is an abundant number, since it is smaller than the sum of its proper divisors (471016509596208).

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

214182506949264 is a wasteful number, since it uses less digits than its factorization.

214182506949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48066565 (or 48066556 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 214182506949264 in words is "two hundred fourteen trillion, one hundred eighty-two billion, five hundred six million, nine hundred forty-nine thousand, two hundred sixty-four".