21113146432620 has 288 divisors, whose sum is σ = 71867444253696. Its totient is φ = 4972101926400.

The previous prime is 21113146432597. The next prime is 21113146432633. The reversal of 21113146432620 is 2623464131112.

21113146432620 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 3 + 1 + 4 + 643 + 2 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45998697 + ... + 46455423.

It is an arithmetic number, because the mean of its divisors is an integer number (249539736992).

Almost surely, 2^{21113146432620} is an apocalyptic number.

21113146432620 is a gapful number since it is divisible by the number (20) 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 21113146432620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35933722126848).

21113146432620 is an abundant number, since it is smaller than the sum of its proper divisors (50754297821076).

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

21113146432620 is a wasteful number, since it uses less digits than its factorization.

21113146432620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457421 (or 457416 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21113146432620 in words is "twenty-one trillion, one hundred thirteen billion, one hundred forty-six million, four hundred thirty-two thousand, six hundred twenty".