460314166131020 has 192 divisors, whose sum is σ = 1068534316080000. Its totient is φ = 165787240120320.

The previous prime is 460314166131007. The next prime is 460314166131031. The reversal of 460314166131020 is 20131661413064.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843181106 + ... + 843726854.

It is an arithmetic number, because the mean of its divisors is an integer number (5565282896250).

Almost surely, 2^{460314166131020} 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 460314166131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534267158040000).

460314166131020 is an abundant number, since it is smaller than the sum of its proper divisors (608220149948980).

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

460314166131020 is a wasteful number, since it uses less digits than its factorization.

460314166131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546588 (or 546586 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 460314166131020 in words is "four hundred sixty trillion, three hundred fourteen billion, one hundred sixty-six million, one hundred thirty-one thousand, twenty".