2118015026064 has 240 divisors, whose sum is σ = 7156588516480. Its totient is φ = 571226204160.

The previous prime is 2118015026063. The next prime is 2118015026093. The reversal of 2118015026064 is 4606205108112.

It is a happy number.

2118015026064 is a `hidden beast` number, since 2 + 11 + 80 + 1 + 502 + 6 + 0 + 64 = 666.

It is a super-3 number, since 3×2118015026064³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2118015026063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5105484 + ... + 5504724.

Almost surely, 2^{2118015026064} is an apocalyptic number.

2118015026064 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 2118015026064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578294258240).

2118015026064 is an abundant number, since it is smaller than the sum of its proper divisors (5038573490416).

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

2118015026064 is a wasteful number, since it uses less digits than its factorization.

2118015026064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399558 (or 399549 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2118015026064 in words is "two trillion, one hundred eighteen billion, fifteen million, twenty-six thousand, sixty-four".