383448506160 has 480 divisors, whose sum is σ = 1308503750400. Its totient is φ = 92807479296.

The previous prime is 383448506141. The next prime is 383448506173. The reversal of 383448506160 is 61605844383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247545066 + ... + 247546614.

It is an arithmetic number, because the mean of its divisors is an integer number (2726049480).

Almost surely, 2^383448506160 is an apocalyptic number.

383448506160 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 383448506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654251875200).

383448506160 is an abundant number, since it is smaller than the sum of its proper divisors (925055244240).

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

383448506160 is a wasteful number, since it uses less digits than its factorization.

383448506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 383448506160 in words is "three hundred eighty-three billion, four hundred forty-eight million, five hundred six thousand, one hundred sixty".