20114581345560 has 768 divisors, whose sum is σ = 75958885416960. Its totient is φ = 4753716387840.

The previous prime is 20114581345559. The next prime is 20114581345567. The reversal of 20114581345560 is 6554318541102.

20114581345560 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 5 + 81 + 3 + 4 + 5 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20114581345567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497459104 + ... + 497499536.

It is an arithmetic number, because the mean of its divisors is an integer number (98904798720).

Almost surely, 2^{20114581345560} is an apocalyptic number.

20114581345560 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 20114581345560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37979442708480).

20114581345560 is an abundant number, since it is smaller than the sum of its proper divisors (55844304071400).

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

20114581345560 is a wasteful number, since it uses less digits than its factorization.

20114581345560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40630 (or 40614 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

Adding to 20114581345560 its reverse (6554318541102), we get a palindrome (26668899886662).

The spelling of 20114581345560 in words is "twenty trillion, one hundred fourteen billion, five hundred eighty-one million, three hundred forty-five thousand, five hundred sixty".