4645914255360 has 1680 divisors, whose sum is σ = 19543114904040. Its totient is φ = 1019640545280.

The previous prime is 4645914255349. The next prime is 4645914255373. The reversal of 4645914255360 is 635524195464.

4645914255360 is a `hidden beast` number, since 4 + 6 + 4 + 591 + 42 + 5 + 5 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2294279737344 + 2351634518016 = 1514688^2 + 1533504^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a junction number, because it is equal to n+sod(n) for n = 4645914255297 and 4645914255306.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25668034470 + ... + 25668034650.

Almost surely, 2^{4645914255360} is an apocalyptic number.

4645914255360 is a gapful number since it is divisible by the number (40) 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 4645914255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771557452020).

4645914255360 is an abundant number, since it is smaller than the sum of its proper divisors (14897200648680).

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

4645914255360 is an equidigital number, since it uses as much as digits as its factorization.

4645914255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 4645914255360 in words is "four trillion, six hundred forty-five billion, nine hundred fourteen million, two hundred fifty-five thousand, three hundred sixty".