38163182400001 has 8 divisors (see below), whose sum is σ = 40408131083904. Its totient is φ = 35918239894080.

The previous prime is 38163182399939. The next prime is 38163182400017. The reversal of 38163182400001 is 10000428136183.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38163182400001 - 2²³ = 38163174011393 is a prime.

It is a super-3 number, since 3×38163182400001³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38163182400041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18923356 + ... + 20842738.

It is an arithmetic number, because the mean of its divisors is an integer number (5051016385488).

Almost surely, 2^{38163182400001} is an apocalyptic number.

It is an amenable number.

38163182400001 is a deficient number, since it is larger than the sum of its proper divisors (2244948683903).

38163182400001 is a wasteful number, since it uses less digits than its factorization.

38163182400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088991.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 38163182400001 in words is "thirty-eight trillion, one hundred sixty-three billion, one hundred eighty-two million, four hundred thousand, one".