18968246226864 has 960 divisors, whose sum is σ = 62782861639680. Its totient is φ = 5492219904000.

The previous prime is 18968246226859. The next prime is 18968246226907. The reversal of 18968246226864 is 46862264286981.

18968246226864 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 82 + 462 + 2 + 6 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18968246226792 and 18968246226801.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 60991145269 + ... + 60991145579.

It is an arithmetic number, because the mean of its divisors is an integer number (65398814208).

Almost surely, 2^{18968246226864} 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 18968246226864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31391430819840).

18968246226864 is an abundant number, since it is smaller than the sum of its proper divisors (43814615412816).

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

18968246226864 is a wasteful number, since it uses less digits than its factorization.

18968246226864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 794 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 18968246226864 in words is "eighteen trillion, nine hundred sixty-eight billion, two hundred forty-six million, two hundred twenty-six thousand, eight hundred sixty-four".