37681021456 has 45 divisors (see below), whose sum is σ = 79076077479. Its totient is φ = 17386581888.

The previous prime is 37681021409. The next prime is 37681021481. The reversal of 37681021456 is 65412018673.

The square root of 37681021456 is 194116.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4235927056 + 33445094400 = 65084^2 + 182880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10092166 + ... + 10095898.

Almost surely, 2^37681021456 is an apocalyptic number.

37681021456 is the 194116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37681021456

37681021456 is an abundant number, since it is smaller than the sum of its proper divisors (41395056023).

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

37681021456 is an frugal number, since it uses more digits than its factorization.

37681021456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 37681021456 in words is "thirty-seven billion, six hundred eighty-one million, twenty-one thousand, four hundred fifty-six".