1217802708864 has 320 divisors, whose sum is σ = 4168318952160. Its totient is φ = 345724194816.

The previous prime is 1217802708841. The next prime is 1217802708929. The reversal of 1217802708864 is 4688072087121.

1217802708864 is a `hidden beast` number, since 1 + 217 + 80 + 270 + 8 + 86 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1217802708864.

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, 11340994 + ... + 11447870.

Almost surely, 2^{1217802708864} is an apocalyptic number.

1217802708864 is a gapful number since it is divisible by the number (14) 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 1217802708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084159476080).

1217802708864 is an abundant number, since it is smaller than the sum of its proper divisors (2950516243296).

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

1217802708864 is a wasteful number, since it uses less digits than its factorization.

1217802708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107067 (or 107046 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 1217802708864 in words is "one trillion, two hundred seventeen billion, eight hundred two million, seven hundred eight thousand, eight hundred sixty-four".