20314035462160 has 320 divisors, whose sum is σ = 54877314412800. Its totient is φ = 6911330549760.

The previous prime is 20314035462121. The next prime is 20314035462199. The reversal of 20314035462160 is 6126453041302.

It is an interprime number because it is at equal distance from previous prime (20314035462121) and next prime (20314035462199).

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, 5007154852 + ... + 5007158908.

It is an arithmetic number, because the mean of its divisors is an integer number (171491607540).

Almost surely, 2^{20314035462160} is an apocalyptic number.

20314035462160 is a gapful number since it is divisible by the number (20) 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 20314035462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27438657206400).

20314035462160 is an abundant number, since it is smaller than the sum of its proper divisors (34563278950640).

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

20314035462160 is a wasteful number, since it uses less digits than its factorization.

20314035462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 20314035462160 in words is "twenty trillion, three hundred fourteen billion, thirty-five million, four hundred sixty-two thousand, one hundred sixty".