18829468956672 has 480 divisors, whose sum is σ = 61393495363200. Its totient is φ = 5702333644800.

The previous prime is 18829468956653. The next prime is 18829468956703. The reversal of 18829468956672 is 27665986492881.

18829468956672 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 9 + 46 + 8 + 9 + 566 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 18829468956591 and 18829468956600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5362991397 + ... + 5362994907.

It is an arithmetic number, because the mean of its divisors is an integer number (127903115340).

Almost surely, 2^{18829468956672} is an apocalyptic number.

18829468956672 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 18829468956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30696747681600).

18829468956672 is an abundant number, since it is smaller than the sum of its proper divisors (42564026406528).

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

18829468956672 is a wasteful number, since it uses less digits than its factorization.

18829468956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6466 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 18829468956672 in words is "eighteen trillion, eight hundred twenty-nine billion, four hundred sixty-eight million, nine hundred fifty-six thousand, six hundred seventy-two".