460116160416 has 216 divisors, whose sum is σ = 1473302595492. Its totient is φ = 136028006400.

The previous prime is 460116160409. The next prime is 460116160421. The reversal of 460116160416 is 614061611064.

460116160416 is a `hidden beast` number, since 4 + 601 + 1 + 6 + 1 + 6 + 0 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 459439952400 + 676208016 = 677820^2 + 26004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267750 + ... + 1589786.

Almost surely, 2^460116160416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460116160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736651297746).

460116160416 is an abundant number, since it is smaller than the sum of its proper divisors (1013186435076).

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

460116160416 is a wasteful number, since it uses less digits than its factorization.

460116160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322116 (or 322094 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 460116160416 in words is "four hundred sixty billion, one hundred sixteen million, one hundred sixty thousand, four hundred sixteen".