214107609264 has 40 divisors (see below), whose sum is σ = 553352825712. Its totient is φ = 71338041600.

The previous prime is 214107609239. The next prime is 214107609269. The reversal of 214107609264 is 462906701412.

214107609264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214107609269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862587 + ... + 1082714.

Almost surely, 2^214107609264 is an apocalyptic number.

214107609264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214107609264 is an abundant number, since it is smaller than the sum of its proper divisors (339245216448).

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

214107609264 is a wasteful number, since it uses less digits than its factorization.

214107609264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947605 (or 1947599 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 214107609264 in words is "two hundred fourteen billion, one hundred seven million, six hundred nine thousand, two hundred sixty-four".