18860493600 has 864 divisors, whose sum is σ = 78823704960. Its totient is φ = 4359536640.

The previous prime is 18860493541. The next prime is 18860493607. The reversal of 18860493600 is 639406881.

18860493600 is a `hidden beast` number, since 1 + 8 + 8 + 604 + 9 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×18860493600³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18860493607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42962181 + ... + 42962619.

It is an arithmetic number, because the mean of its divisors is an integer number (91231140).

Almost surely, 2^18860493600 is an apocalyptic number.

18860493600 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 18860493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39411852480).

18860493600 is an abundant number, since it is smaller than the sum of its proper divisors (59963211360).

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

18860493600 is a wasteful number, since it uses less digits than its factorization.

18860493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18860493600 in words is "eighteen billion, eight hundred sixty million, four hundred ninety-three thousand, six hundred".