37058945049 has 81 divisors (see below), whose sum is σ = 63593985663. Its totient is φ = 20735313984.

The previous prime is 37058945003. The next prime is 37058945089. The reversal of 37058945049 is 94054985073.

The square root of 37058945049 is 192507.

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

37058945049 is a `hidden beast` number, since 3 + 7 + 0 + 589 + 4 + 50 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7116103449 + 29942841600 = 84357^2 + 173040^2 .

It is not a de Polignac number, because 37058945049 - 2⁷ = 37058944921 is a prime.

It is a super-2 number, since 2×37058945049² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37058944986 and 37058945004.

It is not an unprimeable number, because it can be changed into a prime (37058945089) 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, 359795532 + ... + 359795634.

Almost surely, 2^37058945049 is an apocalyptic number.

37058945049 is the 192507-th square number.

37058945049 is the 96254-th centered octagonal number.

It is an amenable number.

37058945049 is a deficient number, since it is larger than the sum of its proper divisors (26535040614).

37058945049 is an equidigital number, since it uses as much as digits as its factorization.

37058945049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 37058945049 in words is "thirty-seven billion, fifty-eight million, nine hundred forty-five thousand, forty-nine".