20642468112 has 320 divisors, whose sum is σ = 69715537920. Its totient is φ = 5725209600.

The previous prime is 20642468101. The next prime is 20642468149. The reversal of 20642468112 is 21186424602.

20642468112 is a `hidden beast` number, since 2 + 0 + 642 + 4 + 6 + 8 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×20642468112² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41038453 + ... + 41038955.

It is an arithmetic number, because the mean of its divisors is an integer number (217861056).

Almost surely, 2^20642468112 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 20642468112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34857768960).

20642468112 is an abundant number, since it is smaller than the sum of its proper divisors (49073069808).

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

20642468112 is a wasteful number, since it uses less digits than its factorization.

20642468112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20642468112 in words is "twenty billion, six hundred forty-two million, four hundred sixty-eight thousand, one hundred twelve".