37745532582912 has 1584 divisors, whose sum is σ = 150465504672000. Its totient is φ = 9287266222080.

The previous prime is 37745532582911. The next prime is 37745532582913. The reversal of 37745532582912 is 21928523554773.

It is a happy number.

37745532582912 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 5 + 5 + 32 + 582 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (37745532582911) and next prime (37745532582913).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 37745532582912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37745532582911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3114568789 + ... + 3114580907.

Almost surely, 2^{37745532582912} is an apocalyptic number.

37745532582912 is a gapful number since it is divisible by the number (32) 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 37745532582912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75232752336000).

37745532582912 is an abundant number, since it is smaller than the sum of its proper divisors (112719972089088).

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

37745532582912 is a wasteful number, since it uses less digits than its factorization.

37745532582912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203 (or 12161 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 37745532582912 in words is "thirty-seven trillion, seven hundred forty-five billion, five hundred thirty-two million, five hundred eighty-two thousand, nine hundred twelve".