381464536320 has 360 divisors, whose sum is σ = 1559945675904. Its totient is φ = 87191728128.

The previous prime is 381464536303. The next prime is 381464536331. The reversal of 381464536320 is 23635464183.

381464536320 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 6 + 4 + 5 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 462957 + ... + 988563.

Almost surely, 2^381464536320 is an apocalyptic number.

381464536320 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 381464536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779972837952).

381464536320 is an abundant number, since it is smaller than the sum of its proper divisors (1178481139584).

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

381464536320 is an equidigital number, since it uses as much as digits as its factorization.

381464536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525647 (or 525624 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 381464536320 in words is "three hundred eighty-one billion, four hundred sixty-four million, five hundred thirty-six thousand, three hundred twenty".