383945314273920 has 1792 divisors, whose sum is σ = 1657156444416000. Its totient is φ = 83059295477760.

The previous prime is 383945314273907. The next prime is 383945314273949. The reversal of 383945314273920 is 29372413549383.

383945314273920 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 4 + 531 + 4 + 2 + 7 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 81847218775 + ... + 81847223465.

Almost surely, 2^{383945314273920} is an apocalyptic number.

383945314273920 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 383945314273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828578222208000).

383945314273920 is an abundant number, since it is smaller than the sum of its proper divisors (1273211130142080).

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

383945314273920 is a wasteful number, since it uses less digits than its factorization.

383945314273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6073 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 383945314273920 in words is "three hundred eighty-three trillion, nine hundred forty-five billion, three hundred fourteen million, two hundred seventy-three thousand, nine hundred twenty".