383816959259136 has 1280 divisors, whose sum is σ = 1195416864423936. Its totient is φ = 108493172637696.

The previous prime is 383816959259101. The next prime is 383816959259161. The reversal of 383816959259136 is 631952959618383.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632317889745 + ... + 632317890351.

Almost surely, 2^{383816959259136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383816959259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597708432211968).

383816959259136 is an abundant number, since it is smaller than the sum of its proper divisors (811599905164800).

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

383816959259136 is a wasteful number, since it uses less digits than its factorization.

383816959259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1105 counting only the distinct ones).

The product of its digits is 2267481600, while the sum is 78.

The spelling of 383816959259136 in words is "three hundred eighty-three trillion, eight hundred sixteen billion, nine hundred fifty-nine million, two hundred fifty-nine thousand, one hundred thirty-six".