381350089018080 has 4608 divisors, whose sum is σ = 1779099207782400. Its totient is φ = 75464287911936.

The previous prime is 381350089018037. The next prime is 381350089018091. The reversal of 381350089018080 is 80810980053183.

381350089018080 is a `hidden beast` number, since 38 + 1 + 3 + 500 + 8 + 90 + 18 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1202997126082 + ... + 1202997126398.

It is an arithmetic number, because the mean of its divisors is an integer number (386089237800).

Almost surely, 2^{381350089018080} is an apocalyptic number.

381350089018080 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 381350089018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889549603891200).

381350089018080 is an abundant number, since it is smaller than the sum of its proper divisors (1397749118764320).

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

381350089018080 is a wasteful number, since it uses less digits than its factorization.

381350089018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 381350089018080 in words is "three hundred eighty-one trillion, three hundred fifty billion, eighty-nine million, eighteen thousand, eighty".