381480818999520 has 384 divisors, whose sum is σ = 1277362929024000. Its totient is φ = 95425566179328.

The previous prime is 381480818999513. The next prime is 381480818999537. The reversal of 381480818999520 is 25999818084183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8312373694 + ... + 8312419586.

It is an arithmetic number, because the mean of its divisors is an integer number (3326465961000).

Almost surely, 2^{381480818999520} is an apocalyptic number.

381480818999520 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 381480818999520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638681464512000).

381480818999520 is an abundant number, since it is smaller than the sum of its proper divisors (895882110024480).

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

381480818999520 is a wasteful number, since it uses less digits than its factorization.

381480818999520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54882 (or 54874 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 75.

The spelling of 381480818999520 in words is "three hundred eighty-one trillion, four hundred eighty billion, eight hundred eighteen million, nine hundred ninety-nine thousand, five hundred twenty".