20338174464 has 160 divisors (see below), whose sum is σ = 56497098240. Its totient is φ = 6494208000.

The previous prime is 20338174459. The next prime is 20338174471. The reversal of 20338174464 is 46447183302.

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 15 ways as a sum of consecutive naturals, for example, 4807102 + ... + 4811330.

It is an arithmetic number, because the mean of its divisors is an integer number (353106864).

Almost surely, 2^20338174464 is an apocalyptic number.

20338174464 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 20338174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28248549120).

20338174464 is an abundant number, since it is smaller than the sum of its proper divisors (36158923776).

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

20338174464 is a wasteful number, since it uses less digits than its factorization.

20338174464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 20338174464 in words is "twenty billion, three hundred thirty-eight million, one hundred seventy-four thousand, four hundred sixty-four".