18690134400 has 480 divisors, whose sum is σ = 78831316080. Its totient is φ = 4271616000.

The previous prime is 18690134387. The next prime is 18690134423. The reversal of 18690134400 is 443109681.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×18690134400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1809250 + ... + 1819550.

Almost surely, 2^18690134400 is an apocalyptic number.

18690134400 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 18690134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39415658040).

18690134400 is an abundant number, since it is smaller than the sum of its proper divisors (60141181680).

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

18690134400 is a wasteful number, since it uses less digits than its factorization.

18690134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18690134400 in words is "eighteen billion, six hundred ninety million, one hundred thirty-four thousand, four hundred".