37640814014521 has 9 divisors (see below), whose sum is σ = 38983714597711. Its totient is φ = 36342683124664.

The previous prime is 37640814014519. The next prime is 37640814014527. The reversal of 37640814014521 is 12541041804673.

The square root of 37640814014521 is 6135211.

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

It can be written as a sum of positive squares in only one way, i.e., 19737929822121 + 17902884192400 = 4442739^2 + 4231180^2 .

It is not a de Polignac number, because 37640814014521 - 2¹ = 37640814014519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37640814014527) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 177815340 + ... + 178026898.

Almost surely, 2^{37640814014521} is an apocalyptic number.

37640814014521 is the 6135211-st square number.

37640814014521 is the 3067606-th centered octagonal number.

It is an amenable number.

37640814014521 is a deficient number, since it is larger than the sum of its proper divisors (1342900583190).

37640814014521 is an frugal number, since it uses more digits than its factorization.

37640814014521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423176 (or 211588 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 37640814014521 in words is "thirty-seven trillion, six hundred forty billion, eight hundred fourteen million, fourteen thousand, five hundred twenty-one".