465500382363360 has 288 divisors, whose sum is σ = 1677896658966528. Its totient is φ = 117335429729280.

The previous prime is 465500382363349. The next prime is 465500382363383. The reversal of 465500382363360 is 63363283005564.

465500382363360 is a `hidden beast` number, since 4 + 6 + 550 + 0 + 3 + 8 + 23 + 6 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 465500382363297 and 465500382363306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119334852 + ... + 123173891.

It is an arithmetic number, because the mean of its divisors is an integer number (5826030065856).

Almost surely, 2^{465500382363360} is an apocalyptic number.

465500382363360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465500382363360 is an abundant number, since it is smaller than the sum of its proper divisors (1212396276603168).

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

465500382363360 is a wasteful number, since it uses less digits than its factorization.

465500382363360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242508838 (or 242508827 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 465500382363360 in words is "four hundred sixty-five trillion, five hundred billion, three hundred eighty-two million, three hundred sixty-three thousand, three hundred sixty".