37329546063681 has 9 divisors (see below), whose sum is σ = 53920481901091. Its totient is φ = 24886351822872.

The previous prime is 37329546063637. The next prime is 37329546063713. The reversal of 37329546063681 is 18636064592373.

The square root of 37329546063681 is 6109791.

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

37329546063681 is a `hidden beast` number, since 3 + 7 + 3 + 2 + 9 + 546 + 0 + 6 + 3 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 766771679025 + 36562774384656 = 875655^2 + 6046716^2 .

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

It is not a de Polignac number, because 37329546063681 - 2⁷ = 37329546063553 is a prime.

It is a super-2 number, since 2×37329546063681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37329546065681) 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, 17311075 + ... + 19347671.

It is a 1-persistent number, because it is pandigital, but 2⋅37329546063681 = 74659092127362 is not.

Almost surely, 2^{37329546063681} is an apocalyptic number.

37329546063681 is the 6109791-st square number.

37329546063681 is the 3054896-th centered octagonal number.

It is an amenable number.

37329546063681 is a deficient number, since it is larger than the sum of its proper divisors (16590935837410).

37329546063681 is an frugal number, since it uses more digits than its factorization.

37329546063681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073200 (or 2036600 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 37329546063681 in words is "thirty-seven trillion, three hundred twenty-nine billion, five hundred forty-six million, sixty-three thousand, six hundred eighty-one".