37725054048 has 144 divisors (see below), whose sum is σ = 121368252096. Its totient is φ = 11431808640.

The previous prime is 37725054047. The next prime is 37725054061. The reversal of 37725054048 is 84045052773.

37725054048 is a `hidden beast` number, since 37 + 72 + 5 + 0 + 540 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 37725053994 and 37725054012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37725054047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134986 + ... + 306057.

It is an arithmetic number, because the mean of its divisors is an integer number (842835084).

Almost surely, 2^37725054048 is an apocalyptic number.

It is an amenable number.

37725054048 is an abundant number, since it is smaller than the sum of its proper divisors (83643198048).

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

37725054048 is a wasteful number, since it uses less digits than its factorization.

37725054048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441079 (or 441059 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 37725054048 in words is "thirty-seven billion, seven hundred twenty-five million, fifty-four thousand, forty-eight".