18672146438400 has 4536 divisors, whose sum is σ = 91252828195200. Its totient is φ = 3689242951680.

The previous prime is 18672146438381. The next prime is 18672146438401. The reversal of 18672146438400 is 483464127681.

18672146438400 is a `hidden beast` number, since 1 + 8 + 67 + 2 + 146 + 4 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is not an unprimeable number, because it can be changed into a prime (18672146438401) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 93829881501 + ... + 93829881699.

Almost surely, 2^{18672146438400} is an apocalyptic number.

18672146438400 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 18672146438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45626414097600).

18672146438400 is an abundant number, since it is smaller than the sum of its proper divisors (72580681756800).

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

18672146438400 is a wasteful number, since it uses less digits than its factorization.

18672146438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 18672146438400 in words is "eighteen trillion, six hundred seventy-two billion, one hundred forty-six million, four hundred thirty-eight thousand, four hundred".