37644212998144 has 117 divisors (see below), whose sum is σ = 77398670050401. Its totient is φ = 18306332835840.

The previous prime is 37644212998127. The next prime is 37644212998153. The reversal of 37644212998144 is 44189921244673.

The square root of 37644212998144 is 6135488.

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

37644212998144 is digitally balanced in base 5, 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 only one way, i.e., 33684558745600 + 3959654252544 = 5803840^2 + 1989888^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14528834289 + ... + 14528836879.

Almost surely, 2^{37644212998144} is an apocalyptic number.

37644212998144 is the 6135488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37644212998144

37644212998144 is an abundant number, since it is smaller than the sum of its proper divisors (39754457052257).

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

37644212998144 is an frugal number, since it uses more digits than its factorization.

37644212998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 2630 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

37644212998144 divided by its sum of digits (64) gives a square (588190828096 = 766936²).

The spelling of 37644212998144 in words is "thirty-seven trillion, six hundred forty-four billion, two hundred twelve million, nine hundred ninety-eight thousand, one hundred forty-four".