20456913876624 has 105 divisors (see below), whose sum is σ = 59427140289043. Its totient is φ = 6818808466656.

The previous prime is 20456913876613. The next prime is 20456913876653. The reversal of 20456913876624 is 42667831965402.

The square root of 20456913876624 is 4522932.

It is a perfect power (a square), and thus also a powerful number.

20456913876624 is a `hidden beast` number, since 2 + 0 + 4 + 569 + 1 + 3 + 8 + 7 + 6 + 62 + 4 = 666.

It is a super-2 number, since 2×20456913876624² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 488455717 + ... + 488497595.

It is a 1-persistent number, because it is pandigital, but 2⋅20456913876624 = 40913827753248 is not.

Almost surely, 2^{20456913876624} is an apocalyptic number.

20456913876624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20456913876624 is the 4522932-nd square number.

It is an amenable number.

20456913876624 is an abundant number, since it is smaller than the sum of its proper divisors (38970226412419).

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

20456913876624 is an frugal number, since it uses more digits than its factorization.

20456913876624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83784 (or 41884 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 20456913876624 in words is "twenty trillion, four hundred fifty-six billion, nine hundred thirteen million, eight hundred seventy-six thousand, six hundred twenty-four".