20646811864602 has 256 divisors, whose sum is σ = 60126122188800. Its totient is φ = 5092196820480.

The previous prime is 20646811864501. The next prime is 20646811864603.

20646811864602 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 68 + 118 + 6 + 460 + 2 = 666.

20646811864602 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20646811864603) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12313924 + ... + 13889792.

It is an arithmetic number, because the mean of its divisors is an integer number (234867664800).

Almost surely, 2^{20646811864602} is an apocalyptic number.

20646811864602 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20646811864602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063061094400).

20646811864602 is an abundant number, since it is smaller than the sum of its proper divisors (39479310324198).

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

20646811864602 is a wasteful number, since it uses less digits than its factorization.

20646811864602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576058 (or 1576052 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20646811864602 in words is "twenty trillion, six hundred forty-six billion, eight hundred eleven million, eight hundred sixty-four thousand, six hundred two".