20908145194464 has 384 divisors, whose sum is σ = 64277499041280. Its totient is φ = 5929683640320.

The previous prime is 20908145194441. The next prime is 20908145194483. The reversal of 20908145194464 is 46449154180902.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 388795482 + ... + 388849254.

It is an arithmetic number, because the mean of its divisors is an integer number (167389320420).

Almost surely, 2^{20908145194464} is an apocalyptic number.

20908145194464 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 20908145194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32138749520640).

20908145194464 is an abundant number, since it is smaller than the sum of its proper divisors (43369353846816).

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

20908145194464 is a wasteful number, since it uses less digits than its factorization.

20908145194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54015 (or 53985 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 20908145194464 in words is "twenty trillion, nine hundred eight billion, one hundred forty-five million, one hundred ninety-four thousand, four hundred sixty-four".