37901618032041 has 81 divisors (see below), whose sum is σ = 56290964844933. Its totient is φ = 24574494510720.

The previous prime is 37901618032007. The next prime is 37901618032087. The reversal of 37901618032041 is 14023081610973.

The square root of 37901618032041 is 6156429.

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

37901618032041 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 1 + 618 + 0 + 3 + 20 + 4 + 1 = 666.

37901618032041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5269875775641 + 32631742256400 = 2295621^2 + 5712420^2 .

It is not a de Polignac number, because 37901618032041 - 2²⁵ = 37901584477609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37901618032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 134881202821 + ... + 134881203101.

Almost surely, 2^{37901618032041} is an apocalyptic number.

37901618032041 is the 6156429-th square number.

37901618032041 is the 3078215-th centered octagonal number.

It is an amenable number.

37901618032041 is a deficient number, since it is larger than the sum of its proper divisors (18389346812892).

37901618032041 is an frugal number, since it uses more digits than its factorization.

37901618032041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 37901618032041 in words is "thirty-seven trillion, nine hundred one billion, six hundred eighteen million, thirty-two thousand, forty-one".