37964587494681 has 9 divisors (see below), whose sum is σ = 54837764192341. Its totient is φ = 25309712673372.

The previous prime is 37964587494667. The next prime is 37964587494703. The reversal of 37964587494681 is 18649478546973.

The square root of 37964587494681 is 6161541.

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

37964587494681 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 45 + 8 + 7 + 494 + 6 + 81 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 37964587494681 - 2¹¹ = 37964587492633 is a prime.

It is a super-2 number, since 2×37964587494681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37964587494681.

It is not an unprimeable number, because it can be changed into a prime (37964587494601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17457700 + ... + 19511546.

Almost surely, 2^{37964587494681} is an apocalyptic number.

37964587494681 is the 6161541-st square number.

37964587494681 is the 3080771-st centered octagonal number.

It is an amenable number.

37964587494681 is a deficient number, since it is larger than the sum of its proper divisors (16873176697660).

37964587494681 is an frugal number, since it uses more digits than its factorization.

37964587494681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107700 (or 2053850 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 37964587494681 in words is "thirty-seven trillion, nine hundred sixty-four billion, five hundred eighty-seven million, four hundred ninety-four thousand, six hundred eighty-one".