18970182214560 has 768 divisors, whose sum is σ = 69480894873600. Its totient is φ = 4828609843200.

The previous prime is 18970182214523. The next prime is 18970182214561. The reversal of 18970182214560 is 6541228107981.

18970182214560 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 0 + 182 + 2 + 1 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18970182214497 and 18970182214506.

It is not an unprimeable number, because it can be changed into a prime (18970182214561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2922532915 + ... + 2922539405.

It is an arithmetic number, because the mean of its divisors is an integer number (90469915200).

Almost surely, 2^{18970182214560} is an apocalyptic number.

18970182214560 is a gapful number since it is divisible by the number (10) 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 18970182214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34740447436800).

18970182214560 is an abundant number, since it is smaller than the sum of its proper divisors (50510712659040).

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

18970182214560 is a wasteful number, since it uses less digits than its factorization.

18970182214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18970182214560 in words is "eighteen trillion, nine hundred seventy billion, one hundred eighty-two million, two hundred fourteen thousand, five hundred sixty".