20456042044464 has 400 divisors, whose sum is σ = 66555889025472. Its totient is φ = 6018362228736.

The previous prime is 20456042044429. The next prime is 20456042044481. The reversal of 20456042044464 is 46444024065402.

20456042044464 is a `hidden beast` number, since 2 + 0 + 4 + 560 + 4 + 2 + 0 + 44 + 46 + 4 = 666.

20456042044464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20456042044464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1330293544 + ... + 1330308920.

Almost surely, 2^{20456042044464} is an apocalyptic number.

20456042044464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20456042044464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33277944512736).

20456042044464 is an abundant number, since it is smaller than the sum of its proper divisors (46099846981008).

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

20456042044464 is a wasteful number, since it uses less digits than its factorization.

20456042044464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18866 (or 18851 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 20456042044464 in words is "twenty trillion, four hundred fifty-six billion, forty-two million, forty-four thousand, four hundred sixty-four".