214362164736 has 120 divisors (see below), whose sum is σ = 639997352280. Its totient is φ = 68990078976.

The previous prime is 214362164701. The next prime is 214362164767. The reversal of 214362164736 is 637461263412.

214362164736 is a `hidden beast` number, since 2 + 14 + 3 + 621 + 6 + 4 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×214362164736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214362164691 and 214362164700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 668430 + ... + 935693.

It is an arithmetic number, because the mean of its divisors is an integer number (5333311269).

Almost surely, 2^214362164736 is an apocalyptic number.

It is an amenable number.

214362164736 is an abundant number, since it is smaller than the sum of its proper divisors (425635187544).

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

214362164736 is a wasteful number, since it uses less digits than its factorization.

214362164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604176 (or 1604157 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 214362164736 in words is "two hundred fourteen billion, three hundred sixty-two million, one hundred sixty-four thousand, seven hundred thirty-six".