37123216461 has 16 divisors (see below), whose sum is σ = 55031603200. Its totient is φ = 24733400544.

The previous prime is 37123216451. The next prime is 37123216579. The reversal of 37123216461 is 16461232173.

37123216461 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 3 + 2 + 1 + 646 + 1 = 666.

It is not a de Polignac number, because 37123216461 - 2²⁶ = 37056107597 is a prime.

It is a super-2 number, since 2×37123216461² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37123216411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383821 + ... + 470706.

It is an arithmetic number, because the mean of its divisors is an integer number (3439475200).

Almost surely, 2^37123216461 is an apocalyptic number.

It is an amenable number.

37123216461 is a deficient number, since it is larger than the sum of its proper divisors (17908386739).

37123216461 is a wasteful number, since it uses less digits than its factorization.

37123216461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856145 (or 856139 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 37123216461 in words is "thirty-seven billion, one hundred twenty-three million, two hundred sixteen thousand, four hundred sixty-one".