219956964760413 has 96 divisors (see below), whose sum is σ = 335297244192768. Its totient is φ = 138679737292800.

The previous prime is 219956964760331. The next prime is 219956964760441. The reversal of 219956964760413 is 314067469659912.

219956964760413 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 5 + 6 + 9 + 6 + 4 + 7 + 604 + 1 + 3 = 666.

It is not a de Polignac number, because 219956964760413 - 2²⁴ = 219956947983197 is a prime.

It is a super-2 number, since 2×219956964760413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219956964760213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4528541418 + ... + 4528589988.

It is an arithmetic number, because the mean of its divisors is an integer number (3492679627008).

Almost surely, 2^{219956964760413} is an apocalyptic number.

219956964760413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

219956964760413 is a deficient number, since it is larger than the sum of its proper divisors (115340279432355).

219956964760413 is a wasteful number, since it uses less digits than its factorization.

219956964760413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49487 (or 49484 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 219956964760413 in words is "two hundred nineteen trillion, nine hundred fifty-six billion, nine hundred sixty-four million, seven hundred sixty thousand, four hundred thirteen".