36873045893124 has 135 divisors (see below), whose sum is σ = 112133454414597. Its totient is φ = 10534937366016.

The previous prime is 36873045893059. The next prime is 36873045893129. The reversal of 36873045893124 is 42139854037863.

It is a happy number.

The square root of 36873045893124 is 6072318.

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

36873045893124 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 30 + 4 + 589 + 3 + 12 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27599997744900 + 9273048148224 = 5253570^2 + 3045168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36873045893129) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 765087972 + ... + 765136164.

It is a 1-persistent number, because it is pandigital, but 2⋅36873045893124 = 73746091786248 is not.

Almost surely, 2^{36873045893124} is an apocalyptic number.

36873045893124 is the 6072318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36873045893124

36873045893124 is an abundant number, since it is smaller than the sum of its proper divisors (75260408521473).

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

36873045893124 is an frugal number, since it uses more digits than its factorization.

36873045893124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96416 (or 48205 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 36873045893124 in words is "thirty-six trillion, eight hundred seventy-three billion, forty-five million, eight hundred ninety-three thousand, one hundred twenty-four".