37131748416 has 567 divisors, whose sum is σ = 131481689157. Its totient is φ = 9989360640.

The previous prime is 37131748411. The next prime is 37131748427. The reversal of 37131748416 is 61484713173.

The square root of 37131748416 is 192696.

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

37131748416 is a `hidden beast` number, since 37 + 131 + 7 + 484 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33225998400 + 3905750016 = 182280^2 + 62496^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (338688) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (37131748411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1003560750 + ... + 1003560786.

Almost surely, 2^37131748416 is an apocalyptic number.

37131748416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37131748416 is the 192696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37131748416

37131748416 is an abundant number, since it is smaller than the sum of its proper divisors (94349940741).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37131748416 is a wasteful number, since it uses less digits than its factorization.

37131748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 80 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 37131748416 in words is "thirty-seven billion, one hundred thirty-one million, seven hundred forty-eight thousand, four hundred sixteen".