20338756416 has 252 divisors, whose sum is σ = 67455897600. Its totient is φ = 5838497280.

The previous prime is 20338756409. The next prime is 20338756421. The reversal of 20338756416 is 61465783302.

20338756416 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 87 + 564 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1316545 + ... + 1331903.

Almost surely, 2^20338756416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20338756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33727948800).

20338756416 is an abundant number, since it is smaller than the sum of its proper divisors (47117141184).

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

20338756416 is a wasteful number, since it uses less digits than its factorization.

20338756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15418 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20338756416 in words is "twenty billion, three hundred thirty-eight million, seven hundred fifty-six thousand, four hundred sixteen".