18608874134400 has 1152 divisors, whose sum is σ = 76002086983680. Its totient is φ = 4294010880000.

The previous prime is 18608874134329. The next prime is 18608874134407. The reversal of 18608874134400 is 443147880681.

18608874134400 is a `hidden beast` number, since 1 + 8 + 60 + 88 + 74 + 1 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18608874134407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 599053269 + ... + 599084331.

It is an arithmetic number, because the mean of its divisors is an integer number (65974033840).

Almost surely, 2^{18608874134400} is an apocalyptic number.

18608874134400 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 18608874134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38001043491840).

18608874134400 is an abundant number, since it is smaller than the sum of its proper divisors (57393212849280).

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

18608874134400 is a wasteful number, since it uses less digits than its factorization.

18608874134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31196 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 18608874134400 in words is "eighteen trillion, six hundred eight billion, eight hundred seventy-four million, one hundred thirty-four thousand, four hundred".