18400198550832 has 600 divisors, whose sum is σ = 63615610840320. Its totient is φ = 5028216030720.

The previous prime is 18400198550807. The next prime is 18400198550933. The reversal of 18400198550832 is 23805589100481.

18400198550832 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 0 + 1 + 9 + 8 + 550 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 732741957 + ... + 732767067.

Almost surely, 2^{18400198550832} is an apocalyptic number.

18400198550832 is a gapful number since it is divisible by the number (12) 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 18400198550832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31807805420160).

18400198550832 is an abundant number, since it is smaller than the sum of its proper divisors (45215412289488).

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

18400198550832 is a wasteful number, since it uses less digits than its factorization.

18400198550832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25271 (or 25219 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 18400198550832 in words is "eighteen trillion, four hundred billion, one hundred ninety-eight million, five hundred fifty thousand, eight hundred thirty-two".