37298047656961 has 32 divisors (see below), whose sum is σ = 46884831436800. Its totient is φ = 28880913531456.

The previous prime is 37298047656931. The next prime is 37298047657009. The reversal of 37298047656961 is 16965674089273.

It is a happy number.

It is not a de Polignac number, because 37298047656961 - 2⁷ = 37298047656833 is a prime.

It is a super-2 number, since 2×37298047656961² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37298047656911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72877420 + ... + 73387426.

It is an arithmetic number, because the mean of its divisors is an integer number (1465150982400).

It is a 1-persistent number, because it is pandigital, but 2⋅37298047656961 = 74596095313922 is not.

Almost surely, 2^{37298047656961} is an apocalyptic number.

It is an amenable number.

37298047656961 is a deficient number, since it is larger than the sum of its proper divisors (9586783779839).

37298047656961 is a wasteful number, since it uses less digits than its factorization.

37298047656961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527173.

The product of its (nonzero) digits is 823011840, while the sum is 73.

The spelling of 37298047656961 in words is "thirty-seven trillion, two hundred ninety-eight billion, forty-seven million, six hundred fifty-six thousand, nine hundred sixty-one".