18629252780864 has 448 divisors, whose sum is σ = 42549191447040. Its totient is φ = 8086619340800.

The previous prime is 18629252780863. The next prime is 18629252780867. The reversal of 18629252780864 is 46808725292681.

It is a junction number, because it is equal to n+sod(n) for n = 18629252780794 and 18629252780803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18629252780861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28528717562 + ... + 28528718214.

Almost surely, 2^{18629252780864} 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 18629252780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21274595723520).

18629252780864 is an abundant number, since it is smaller than the sum of its proper divisors (23919938666176).

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

18629252780864 is an equidigital number, since it uses as much as digits as its factorization.

18629252780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 68.

The spelling of 18629252780864 in words is "eighteen trillion, six hundred twenty-nine billion, two hundred fifty-two million, seven hundred eighty thousand, eight hundred sixty-four".