381715452360 has 288 divisors, whose sum is σ = 1367104185720. Its totient is φ = 92299806720.

The previous prime is 381715452347. The next prime is 381715452361. The reversal of 381715452360 is 63254517183.

It is a happy number.

381715452360 is a `hidden beast` number, since 3 + 8 + 1 + 71 + 54 + 523 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 379754202564 + 1961249796 = 616242^2 + 44286^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (381715452361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17282284 + ... + 17304356.

Almost surely, 2^381715452360 is an apocalyptic number.

381715452360 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 381715452360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683552092860).

381715452360 is an abundant number, since it is smaller than the sum of its proper divisors (985388733360).

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

381715452360 is a wasteful number, since it uses less digits than its factorization.

381715452360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22509 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 381715452360 in words is "three hundred eighty-one billion, seven hundred fifteen million, four hundred fifty-two thousand, three hundred sixty".