38773137868864 has 189 divisors, whose sum is σ = 90063456239631. Its totient is φ = 16513494816000.

The previous prime is 38773137868859. The next prime is 38773137868891. The reversal of 38773137868864 is 46886873137783.

The square root of 38773137868864 is 6226808.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87524013027 + ... + 87524013469.

Almost surely, 2^{38773137868864} is an apocalyptic number.

38773137868864 is the 6226808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38773137868864

38773137868864 is an abundant number, since it is smaller than the sum of its proper divisors (51290318370767).

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

38773137868864 is an frugal number, since it uses more digits than its factorization.

38773137868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 703 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 79.

The spelling of 38773137868864 in words is "thirty-eight trillion, seven hundred seventy-three billion, one hundred thirty-seven million, eight hundred sixty-eight thousand, eight hundred sixty-four".