37813881456 has 640 divisors, whose sum is σ = 129571706880. Its totient is φ = 10450944000.

The previous prime is 37813881397. The next prime is 37813881487. The reversal of 37813881456 is 65418831873.

It is a happy number.

37813881456 is a `hidden beast` number, since 3 + 7 + 81 + 38 + 81 + 456 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250422981 + ... + 250423131.

It is an arithmetic number, because the mean of its divisors is an integer number (202455792).

Almost surely, 2^37813881456 is an apocalyptic number.

37813881456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37813881456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64785853440).

37813881456 is an abundant number, since it is smaller than the sum of its proper divisors (91757825424).

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

37813881456 is a wasteful number, since it uses less digits than its factorization.

37813881456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 37813881456 in words is "thirty-seven billion, eight hundred thirteen million, eight hundred eighty-one thousand, four hundred fifty-six".