381334341611520 has 2080 divisors, whose sum is σ = 1545486162739200. Its totient is φ = 89107070976000.

The previous prime is 381334341611519. The next prime is 381334341611533. The reversal of 381334341611520 is 25116143433183.

381334341611520 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 3 + 4 + 3 + 4 + 1 + 611 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158955539281 + ... + 158955541679.

Almost surely, 2^{381334341611520} is an apocalyptic number.

381334341611520 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 381334341611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772743081369600).

381334341611520 is an abundant number, since it is smaller than the sum of its proper divisors (1164151821127680).

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

381334341611520 is a wasteful number, since it uses less digits than its factorization.

381334341611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 381334341611520 in words is "three hundred eighty-one trillion, three hundred thirty-four billion, three hundred forty-one million, six hundred eleven thousand, five hundred twenty".