34560480456 has 48 divisors (see below), whose sum is σ = 93618470400. Its totient is φ = 11518047072.

The previous prime is 34560480439. The next prime is 34560480457. The reversal of 34560480456 is 65408406543.

34560480456 is a `hidden beast` number, since 3 + 4 + 560 + 4 + 80 + 4 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (34560480457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379305 + ... + 461511.

It is an arithmetic number, because the mean of its divisors is an integer number (1950384800).

Almost surely, 2^34560480456 is an apocalyptic number.

34560480456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34560480456 is an abundant number, since it is smaller than the sum of its proper divisors (59057989944).

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

34560480456 is a wasteful number, since it uses less digits than its factorization.

34560480456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88058 (or 88051 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 34560480456 its reverse (65408406543), we get a palindrome (99968886999).

The spelling of 34560480456 in words is "thirty-four billion, five hundred sixty million, four hundred eighty thousand, four hundred fifty-six".