450160005003360 has 96 divisors (see below), whose sum is σ = 1448174314040832. Its totient is φ = 117488568675840.

The previous prime is 450160005003341. The next prime is 450160005003383. The reversal of 450160005003360 is 63300500061054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×450160005003360² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9976927906 + ... + 9976973025.

It is an arithmetic number, because the mean of its divisors is an integer number (15085149104592).

Almost surely, 2^{450160005003360} is an apocalyptic number.

450160005003360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450160005003360 is an abundant number, since it is smaller than the sum of its proper divisors (998014309037472).

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

450160005003360 is a wasteful number, since it uses less digits than its factorization.

450160005003360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19953900996 (or 19953900988 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 450160005003360 in words is "four hundred fifty trillion, one hundred sixty billion, five million, three thousand, three hundred sixty".