20114971382592 has 280 divisors, whose sum is σ = 63187669951560. Its totient is φ = 6315884789760.

The previous prime is 20114971382573. The next prime is 20114971382609. The reversal of 20114971382592 is 29528317941102.

20114971382592 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 49 + 7 + 1 + 3 + 8 + 2 + 592 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1069288356096 + 19045683026496 = 1034064^2 + 4364136^2 .

It is a super-2 number, since 2×20114971382592² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4532068 + ... + 7795484.

It is an arithmetic number, because the mean of its divisors is an integer number (225670249827).

Almost surely, 2^{20114971382592} 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 20114971382592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31593834975780).

20114971382592 is an abundant number, since it is smaller than the sum of its proper divisors (43072698568968).

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

20114971382592 is a wasteful number, since it uses less digits than its factorization.

20114971382592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263511 (or 3263492 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 20114971382592 in words is "twenty trillion, one hundred fourteen billion, nine hundred seventy-one million, three hundred eighty-two thousand, five hundred ninety-two".