20314290093984 has 240 divisors, whose sum is σ = 60672567335688. Its totient is φ = 6666882121728.

The previous prime is 20314290093959. The next prime is 20314290094003. The reversal of 20314290093984 is 48939009241302.

20314290093984 is a `hidden beast` number, since 2 + 0 + 314 + 290 + 0 + 9 + 39 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7092485101584 + 13221804992400 = 2663172^2 + 3636180^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20314290093984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48315514 + ... + 48734150.

Almost surely, 2^{20314290093984} is an apocalyptic number.

20314290093984 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 20314290093984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336283667844).

20314290093984 is an abundant number, since it is smaller than the sum of its proper divisors (40358277241704).

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

20314290093984 is a wasteful number, since it uses less digits than its factorization.

20314290093984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418949 (or 418932 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20314290093984 in words is "twenty trillion, three hundred fourteen billion, two hundred ninety million, ninety-three thousand, nine hundred eighty-four".