20461876108344 has 640 divisors, whose sum is σ = 66250285516800. Its totient is φ = 5842077696000.

The previous prime is 20461876108339. The next prime is 20461876108369. The reversal of 20461876108344 is 44380167816402.

20461876108344 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 18 + 7 + 610 + 8 + 3 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4955647272 + ... + 4955651400.

It is an arithmetic number, because the mean of its divisors is an integer number (103516071120).

Almost surely, 2^{20461876108344} is an apocalyptic number.

20461876108344 is a gapful number since it is divisible by the number (24) 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 20461876108344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33125142758400).

20461876108344 is an abundant number, since it is smaller than the sum of its proper divisors (45788409408456).

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

20461876108344 is a wasteful number, since it uses less digits than its factorization.

20461876108344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20461876108344 in words is "twenty trillion, four hundred sixty-one billion, eight hundred seventy-six million, one hundred eight thousand, three hundred forty-four".