20462306075136 has 800 divisors, whose sum is σ = 64672478196480. Its totient is φ = 6433601126400.

The previous prime is 20462306075087. The next prime is 20462306075137. The reversal of 20462306075136 is 63157060326402.

20462306075136 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 2 + 3 + 0 + 607 + 5 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20462306075091 and 20462306075100.

It is not an unprimeable number, because it can be changed into a prime (20462306075137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6645762045 + ... + 6645765123.

Almost surely, 2^{20462306075136} 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 20462306075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32336239098240).

20462306075136 is an abundant number, since it is smaller than the sum of its proper divisors (44210172121344).

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

20462306075136 is an equidigital number, since it uses as much as digits as its factorization.

20462306075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 20462306075136 in words is "twenty trillion, four hundred sixty-two billion, three hundred six million, seventy-five thousand, one hundred thirty-six".