18307288894464 has 352 divisors, whose sum is σ = 56650447918080. Its totient is φ = 5829282201600.

The previous prime is 18307288894457. The next prime is 18307288894471. The reversal of 18307288894464 is 46449888270381.

18307288894464 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 7 + 2 + 88 + 89 + 4 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (18307288894457) and next prime (18307288894471).

It is a super-3 number, since 3×18307288894464³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18307288894392 and 18307288894401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483904029 + ... + 483941859.

Almost surely, 2^{18307288894464} 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 18307288894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28325223959040).

18307288894464 is an abundant number, since it is smaller than the sum of its proper divisors (38343159023616).

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

18307288894464 is a wasteful number, since it uses less digits than its factorization.

18307288894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38644 (or 38620 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 18307288894464 in words is "eighteen trillion, three hundred seven billion, two hundred eighty-eight million, eight hundred ninety-four thousand, four hundred sixty-four".