381353003896032 has 576 divisors, whose sum is σ = 1360634017526784. Its totient is φ = 98930636513280.

The previous prime is 381353003896019. The next prime is 381353003896057. The reversal of 381353003896032 is 230698300353183.

It is a happy number.

381353003896032 is a `hidden beast` number, since 3 + 8 + 13 + 530 + 0 + 3 + 8 + 9 + 60 + 32 = 666.

It is a super-2 number, since 2×381353003896032² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381353003896032.

It is a congruent number.

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, 67629483 + ... + 73051029.

It is an arithmetic number, because the mean of its divisors is an integer number (2362211835984).

Almost surely, 2^{381353003896032} is an apocalyptic number.

381353003896032 is a gapful number since it is divisible by the number (32) 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 381353003896032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680317008763392).

381353003896032 is an abundant number, since it is smaller than the sum of its proper divisors (979281013630752).

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

381353003896032 is a wasteful number, since it uses less digits than its factorization.

381353003896032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421671 (or 5421660 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 381353003896032 in words is "three hundred eighty-one trillion, three hundred fifty-three billion, three million, eight hundred ninety-six thousand, thirty-two".