20130314579676 has 432 divisors, whose sum is σ = 60390622656000. Its totient is φ = 5636478887424.

The previous prime is 20130314579611. The next prime is 20130314579747. The reversal of 20130314579676 is 67697541303102.

20130314579676 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 3 + 1 + 4 + 579 + 67 + 6 = 666.

It is a super-2 number, since 2×20130314579676² (a number of 27 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 143 ways as a sum of consecutive naturals, for example, 11848330275 + ... + 11848331973.

It is an arithmetic number, because the mean of its divisors is an integer number (139793108000).

Almost surely, 2^{20130314579676} 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 20130314579676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30195311328000).

20130314579676 is an abundant number, since it is smaller than the sum of its proper divisors (40260308076324).

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

20130314579676 is a wasteful number, since it uses less digits than its factorization.

20130314579676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 20130314579676 in words is "twenty trillion, one hundred thirty billion, three hundred fourteen million, five hundred seventy-nine thousand, six hundred seventy-six".