18048326400 has 324 divisors, whose sum is σ = 69493326448. Its totient is φ = 4442480640.

The previous prime is 18048326399. The next prime is 18048326411. The reversal of 18048326400 is 462384081.

18048326400 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 8 + 3 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 736749 + ... + 760851.

Almost surely, 2^18048326400 is an apocalyptic number.

18048326400 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 18048326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34746663224).

18048326400 is an abundant number, since it is smaller than the sum of its proper divisors (51445000048).

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

18048326400 is a wasteful number, since it uses less digits than its factorization.

18048326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24148 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18048326400 in words is "eighteen billion, forty-eight million, three hundred twenty-six thousand, four hundred".