18677604148400 has 120 divisors (see below), whose sum is σ = 45236091133440. Its totient is φ = 7410605690880.

The previous prime is 18677604148367. The next prime is 18677604148421. The reversal of 18677604148400 is 484140677681.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249339752 + ... + 249414648.

It is an arithmetic number, because the mean of its divisors is an integer number (376967426112).

Almost surely, 2^{18677604148400} is an apocalyptic number.

18677604148400 is a gapful number since it is divisible by the number (10) 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 18677604148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618045566720).

18677604148400 is an abundant number, since it is smaller than the sum of its proper divisors (26558486985040).

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

18677604148400 is a wasteful number, since it uses less digits than its factorization.

18677604148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79951 (or 79940 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 18677604148400 in words is "eighteen trillion, six hundred seventy-seven billion, six hundred four million, one hundred forty-eight thousand, four hundred".