21320139148416 has 48 divisors (see below), whose sum is σ = 61350921250710. Its totient is φ = 7106713049088.

The previous prime is 21320139148397. The next prime is 21320139148453. The reversal of 21320139148416 is 61484193102312.

21320139148416 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 139 + 1 + 484 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10951069377600 + 10369069770816 = 3309240^2 + 3220104^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9253531465 + ... + 9253533768.

Almost surely, 2^{21320139148416} is an apocalyptic number.

It is an amenable number.

21320139148416 is an abundant number, since it is smaller than the sum of its proper divisors (40030782102294).

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

21320139148416 is a wasteful number, since it uses less digits than its factorization.

21320139148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18507065253 (or 18507065238 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21320139148416 in words is "twenty-one trillion, three hundred twenty billion, one hundred thirty-nine million, one hundred forty-eight thousand, four hundred sixteen".