18948656802816 has 1408 divisors, whose sum is σ = 65367751680000. Its totient is φ = 5373417553920.

The previous prime is 18948656802799. The next prime is 18948656802827. The reversal of 18948656802816 is 61820865684981.

18948656802816 is a `hidden beast` number, since 1 + 8 + 9 + 48 + 6 + 568 + 0 + 2 + 8 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52781773645 + ... + 52781774003.

It is an arithmetic number, because the mean of its divisors is an integer number (46425960000).

Almost surely, 2^{18948656802816} is an apocalyptic number.

18948656802816 is a gapful number since it is divisible by the number (16) 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 18948656802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32683875840000).

18948656802816 is an abundant number, since it is smaller than the sum of its proper divisors (46419094877184).

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

18948656802816 is a wasteful number, since it uses less digits than its factorization.

18948656802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 18948656802816 in words is "eighteen trillion, nine hundred forty-eight billion, six hundred fifty-six million, eight hundred two thousand, eight hundred sixteen".