39076139322164 has 96 divisors (see below), whose sum is σ = 82367280656640. Its totient is φ = 15871841436672.

The previous prime is 39076139322139. The next prime is 39076139322179. The reversal of 39076139322164 is 46122393167093.

39076139322164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×39076139322164⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5072264 + ... + 10192160.

It is an arithmetic number, because the mean of its divisors is an integer number (857992506840).

Almost surely, 2^{39076139322164} 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 39076139322164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41183640328320).

39076139322164 is an abundant number, since it is smaller than the sum of its proper divisors (43291141334476).

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

39076139322164 is a wasteful number, since it uses less digits than its factorization.

39076139322164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120137 (or 5120135 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 56.

The spelling of 39076139322164 in words is "thirty-nine trillion, seventy-six billion, one hundred thirty-nine million, three hundred twenty-two thousand, one hundred sixty-four".