20145314016564 has 288 divisors, whose sum is σ = 53548319075328. Its totient is φ = 5884055654400.

The previous prime is 20145314016563. The next prime is 20145314016589. The reversal of 20145314016564 is 46561041354102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145314016563) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20205931314 + ... + 20205932310.

It is an arithmetic number, because the mean of its divisors is an integer number (185931663456).

Almost surely, 2^{20145314016564} 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 20145314016564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26774159537664).

20145314016564 is an abundant number, since it is smaller than the sum of its proper divisors (33403005058764).

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

20145314016564 is a wasteful number, since it uses less digits than its factorization.

20145314016564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 20145314016564 in words is "twenty trillion, one hundred forty-five billion, three hundred fourteen million, sixteen thousand, five hundred sixty-four".