18474086400 has 936 divisors, whose sum is σ = 77809519872. Its totient is φ = 3784704000.

The previous prime is 18474086387. The next prime is 18474086413. The reversal of 18474086400 is 468047481.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18474086387) and next prime (18474086413).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 260198365 + ... + 260198435.

Almost surely, 2^18474086400 is an apocalyptic number.

18474086400 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 18474086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38904759936).

18474086400 is an abundant number, since it is smaller than the sum of its proper divisors (59335433472).

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

18474086400 is a wasteful number, since it uses less digits than its factorization.

18474086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 18474086400 in words is "eighteen billion, four hundred seventy-four million, eighty-six thousand, four hundred".