20314061960192 has 352 divisors, whose sum is σ = 54568503892224. Its totient is φ = 7299661824000.

The previous prime is 20314061960189. The next prime is 20314061960197. The reversal of 20314061960192 is 29106916041302.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×20314061960192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314061960197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333548608 + ... + 1333563840.

Almost surely, 2^{20314061960192} is an apocalyptic number.

20314061960192 is a gapful number since it is divisible by the number (22) 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 20314061960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27284251946112).

20314061960192 is an abundant number, since it is smaller than the sum of its proper divisors (34254441932032).

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

20314061960192 is a wasteful number, since it uses less digits than its factorization.

20314061960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16585 (or 16567 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 20314061960192 in words is "twenty trillion, three hundred fourteen billion, sixty-one million, nine hundred sixty thousand, one hundred ninety-two".