18679161790752 has 96 divisors (see below), whose sum is σ = 49667358565440. Its totient is φ = 6146044354560.

The previous prime is 18679161790733. The next prime is 18679161790771. The reversal of 18679161790752 is 25709716197681.

It is an interprime number because it is at equal distance from previous prime (18679161790733) and next prime (18679161790771).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×18679161790752³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3223227 + ... + 6909957.

It is an arithmetic number, because the mean of its divisors is an integer number (517368318390).

Almost surely, 2^{18679161790752} is an apocalyptic number.

18679161790752 is a gapful number since it is divisible by the number (12) 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 18679161790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24833679282720).

18679161790752 is an abundant number, since it is smaller than the sum of its proper divisors (30988196774688).

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

18679161790752 is a wasteful number, since it uses less digits than its factorization.

18679161790752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687426 (or 3687418 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 69.

The spelling of 18679161790752 in words is "eighteen trillion, six hundred seventy-nine billion, one hundred sixty-one million, seven hundred ninety thousand, seven hundred fifty-two".