380045182464 has 240 divisors, whose sum is σ = 1127408787648. Its totient is φ = 123185627136.

The previous prime is 380045182393. The next prime is 380045182469. The reversal of 380045182464 is 464281540083.

380045182464 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 4 + 5 + 182 + 464 = 666.

It is a super-2 number, since 2×380045182464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380045182469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33996844 + ... + 34008020.

Almost surely, 2^380045182464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380045182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563704393824).

380045182464 is an abundant number, since it is smaller than the sum of its proper divisors (747363605184).

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

380045182464 is a wasteful number, since it uses less digits than its factorization.

380045182464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 380045182464 in words is "three hundred eighty billion, forty-five million, one hundred eighty-two thousand, four hundred sixty-four".