37125589248 has 720 divisors, whose sum is σ = 127892229696. Its totient is φ = 10610196480.

The previous prime is 37125589229. The next prime is 37125589279. The reversal of 37125589248 is 84298552173.

37125589248 is a `hidden beast` number, since 3 + 7 + 12 + 5 + 589 + 2 + 48 = 666.

It is a super-2 number, since 2×37125589248² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4838400) is a multiple of the sum of its prime divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 37125589194 and 37125589203.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 447296215 + ... + 447296297.

Almost surely, 2^37125589248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37125589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63946114848).

37125589248 is an abundant number, since it is smaller than the sum of its proper divisors (90766640448).

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

37125589248 is a wasteful number, since it uses less digits than its factorization.

37125589248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 37125589248 in words is "thirty-seven billion, one hundred twenty-five million, five hundred eighty-nine thousand, two hundred forty-eight".