20455168464 has 320 divisors, whose sum is σ = 62276966400. Its totient is φ = 6500113920.

The previous prime is 20455168441. The next prime is 20455168501. The reversal of 20455168464 is 46486155402.

It is a happy number.

20455168464 is a `hidden beast` number, since 20 + 4 + 5 + 5 + 168 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118237882 + ... + 118238054.

It is an arithmetic number, because the mean of its divisors is an integer number (194615520).

Almost surely, 2^20455168464 is an apocalyptic number.

20455168464 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 20455168464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138483200).

20455168464 is an abundant number, since it is smaller than the sum of its proper divisors (41821797936).

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

20455168464 is a wasteful number, since it uses less digits than its factorization.

20455168464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 20455168464 in words is "twenty billion, four hundred fifty-five million, one hundred sixty-eight thousand, four hundred sixty-four".