18300146400 has 1152 divisors, whose sum is σ = 76720089600. Its totient is φ = 4180377600.

The previous prime is 18300146377. The next prime is 18300146413. The reversal of 18300146400 is 464100381.

18300146400 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 0 + 14 + 640 + 0 = 666.

It is a super-2 number, since 2×18300146400² (a number of 21 digits) contains 22 as substring.

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, 300002370 + ... + 300002430.

It is an arithmetic number, because the mean of its divisors is an integer number (66597300).

Almost surely, 2^18300146400 is an apocalyptic number.

18300146400 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 18300146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38360044800).

18300146400 is an abundant number, since it is smaller than the sum of its proper divisors (58419943200).

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

18300146400 is a wasteful number, since it uses less digits than its factorization.

18300146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 18300146400 its reverse (464100381), we get a palindrome (18764246781).

The spelling of 18300146400 in words is "eighteen billion, three hundred million, one hundred forty-six thousand, four hundred".