20414157112576 has 288 divisors, whose sum is σ = 44163993025152. Its totient is φ = 9382735380480.

The previous prime is 20414157112571. The next prime is 20414157112589. The reversal of 20414157112576 is 67521175141402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414157112571) 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, 26825436036 + ... + 26825436796.

It is an arithmetic number, because the mean of its divisors is an integer number (153347198004).

Almost surely, 2^{20414157112576} 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 20414157112576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081996512576).

20414157112576 is an abundant number, since it is smaller than the sum of its proper divisors (23749835912576).

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

20414157112576 is a wasteful number, since it uses less digits than its factorization.

20414157112576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 20414157112576 in words is "twenty trillion, four hundred fourteen billion, one hundred fifty-seven million, one hundred twelve thousand, five hundred seventy-six".