20131862446080 has 2688 divisors, whose sum is σ = 91456871184000. Its totient is φ = 4162222817280.

The previous prime is 20131862446067. The next prime is 20131862446093. The reversal of 20131862446080 is 8064426813102.

20131862446080 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 18 + 6 + 24 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20131862446067) and next prime (20131862446093).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 101165137821 + ... + 101165138019.

It is an arithmetic number, because the mean of its divisors is an integer number (34024133625).

Almost surely, 2^{20131862446080} is an apocalyptic number.

20131862446080 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 20131862446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45728435592000).

20131862446080 is an abundant number, since it is smaller than the sum of its proper divisors (71325008737920).

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

20131862446080 is an frugal number, since it uses more digits than its factorization.

20131862446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20131862446080 in words is "twenty trillion, one hundred thirty-one billion, eight hundred sixty-two million, four hundred forty-six thousand, eighty".