20465169264 has 160 divisors (see below), whose sum is σ = 61444400640. Its totient is φ = 6509403648.

The previous prime is 20465169247. The next prime is 20465169301. The reversal of 20465169264 is 46296156402.

20465169264 is a `hidden beast` number, since 2 + 0 + 46 + 516 + 92 + 6 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4538499 + ... + 4543005.

It is an arithmetic number, because the mean of its divisors is an integer number (384027504).

Almost surely, 2^20465169264 is an apocalyptic number.

20465169264 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 20465169264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30722200320).

20465169264 is an abundant number, since it is smaller than the sum of its proper divisors (40979231376).

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

20465169264 is a wasteful number, since it uses less digits than its factorization.

20465169264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20465169264 in words is "twenty billion, four hundred sixty-five million, one hundred sixty-nine thousand, two hundred sixty-four".