36873549103104 has 720 divisors, whose sum is σ = 127393736154048. Its totient is φ = 10056603009024.

The previous prime is 36873549103081. The next prime is 36873549103151. The reversal of 36873549103104 is 40130194537863.

36873549103104 is a `hidden beast` number, since 3 + 6 + 8 + 73 + 549 + 10 + 3 + 10 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024119404 + ... + 2024137620.

Almost surely, 2^{36873549103104} 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 36873549103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63696868077024).

36873549103104 is an abundant number, since it is smaller than the sum of its proper divisors (90520187050944).

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

36873549103104 is a wasteful number, since it uses less digits than its factorization.

36873549103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18348 (or 18319 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 36873549103104 in words is "thirty-six trillion, eight hundred seventy-three billion, five hundred forty-nine million, one hundred three thousand, one hundred four".