38163182400000 has 4800 divisors, whose sum is σ = 178236112158720. Its totient is φ = 7937740800000.

The previous prime is 38163182399939. The next prime is 38163182400017. The reversal of 38163182400000 is 428136183.

38163182400000 is a `hidden beast` number, since 381 + 6 + 31 + 8 + 240 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 646833599971 + ... + 646833600029.

Almost surely, 2^{38163182400000} is an apocalyptic number.

38163182400000 is a gapful number since it is divisible by the number (30) 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 38163182400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89118056079360).

38163182400000 is an abundant number, since it is smaller than the sum of its proper divisors (140072929758720).

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

38163182400000 is an frugal number, since it uses more digits than its factorization.

38163182400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38163182400000 in words is "thirty-eight trillion, one hundred sixty-three billion, one hundred eighty-two million, four hundred thousand".