2018259766656 has 256 divisors, whose sum is σ = 6813851328000. Its totient is φ = 576118020096.

The previous prime is 2018259766639. The next prime is 2018259766771. The reversal of 2018259766656 is 6566679528102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2018259766593 and 2018259766602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26791315 + ... + 26866541.

It is an arithmetic number, because the mean of its divisors is an integer number (26616606750).

Almost surely, 2^{2018259766656} 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 2018259766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406925664000).

2018259766656 is an abundant number, since it is smaller than the sum of its proper divisors (4795591561344).

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

2018259766656 is a wasteful number, since it uses less digits than its factorization.

2018259766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76366 (or 76348 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2018259766656 in words is "two trillion, eighteen billion, two hundred fifty-nine million, seven hundred sixty-six thousand, six hundred fifty-six".