18862874100 has 432 divisors, whose sum is σ = 69989687040. Its totient is φ = 4159641600.

The previous prime is 18862874099. The next prime is 18862874111. The reversal of 18862874100 is 147826881.

18862874100 is a `hidden beast` number, since 1 + 8 + 8 + 628 + 7 + 4 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26604546 + ... + 26605254.

Almost surely, 2^18862874100 is an apocalyptic number.

18862874100 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 18862874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34994843520).

18862874100 is an abundant number, since it is smaller than the sum of its proper divisors (51126812940).

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

18862874100 is a wasteful number, since it uses less digits than its factorization.

18862874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 18862874100 in words is "eighteen billion, eight hundred sixty-two million, eight hundred seventy-four thousand, one hundred".