480952371816 has 128 divisors (see below), whose sum is σ = 1527040070400. Its totient is φ = 137396321280.

The previous prime is 480952371791. The next prime is 480952371817. The reversal of 480952371816 is 618173259084.

480952371816 is a `hidden beast` number, since 48 + 0 + 9 + 523 + 71 + 8 + 1 + 6 = 666.

It is a super-3 number, since 3×480952371816³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (480952371817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14245836 + ... + 14279556.

It is an arithmetic number, because the mean of its divisors is an integer number (11930000550).

It is a 1-persistent number, because it is pandigital, but 2⋅480952371816 = 961904743632 is not.

Almost surely, 2^480952371816 is an apocalyptic number.

It is an amenable number.

480952371816 is an abundant number, since it is smaller than the sum of its proper divisors (1046087698584).

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

480952371816 is a wasteful number, since it uses less digits than its factorization.

480952371816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43176 (or 43166 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 480952371816 in words is "four hundred eighty billion, nine hundred fifty-two million, three hundred seventy-one thousand, eight hundred sixteen".