37671116112 has 90 divisors (see below), whose sum is σ = 122639366538. Its totient is φ = 10763174016.

The previous prime is 37671116111. The next prime is 37671116113. The reversal of 37671116112 is 21161117673.

It is a happy number.

37671116112 is a `hidden beast` number, since 37 + 6 + 7 + 1 + 1 + 1 + 611 + 2 = 666.

37671116112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37671116111) and next prime (37671116113).

It can be written as a sum of positive squares in only one way, i.e., 37618929936 + 52186176 = 193956^2 + 7224^2 .

It is a super-2 number, since 2×37671116112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37671116111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2662383 + ... + 2676494.

Almost surely, 2^37671116112 is an apocalyptic number.

It is an amenable number.

37671116112 is an abundant number, since it is smaller than the sum of its proper divisors (84968250426).

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

37671116112 is a wasteful number, since it uses less digits than its factorization.

37671116112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338905 (or 5338889 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The spelling of 37671116112 in words is "thirty-seven billion, six hundred seventy-one million, one hundred sixteen thousand, one hundred twelve".