18013074300 has 576 divisors, whose sum is σ = 65095833600. Its totient is φ = 4244659200.

The previous prime is 18013074293. The next prime is 18013074349. The reversal of 18013074300 is 347031081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100631611 + ... + 100631789.

It is an arithmetic number, because the mean of its divisors is an integer number (113013600).

Almost surely, 2^18013074300 is an apocalyptic number.

18013074300 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 18013074300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547916800).

18013074300 is an abundant number, since it is smaller than the sum of its proper divisors (47082759300).

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

18013074300 is a wasteful number, since it uses less digits than its factorization.

18013074300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 18013074300 in words is "eighteen billion, thirteen million, seventy-four thousand, three hundred".