1217145982464 has 160 divisors (see below), whose sum is σ = 3608314306080. Its totient is φ = 405098496000.

The previous prime is 1217145982453. The next prime is 1217145982469. The reversal of 1217145982464 is 4642895417121.

1217145982464 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 1 + 4 + 598 + 2 + 46 + 4 = 666.

It is a super-2 number, since 2×1217145982464² (a number of 25 digits) contains 22 as substring.

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 1217145982464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217145982469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9071064 + ... + 9204264.

It is an arithmetic number, because the mean of its divisors is an integer number (22551964413).

Almost surely, 2^{1217145982464} 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 1217145982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804157153040).

1217145982464 is an abundant number, since it is smaller than the sum of its proper divisors (2391168323616).

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

1217145982464 is an equidigital number, since it uses as much as digits as its factorization.

1217145982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133889 (or 133867 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1217145982464 in words is "one trillion, two hundred seventeen billion, one hundred forty-five million, nine hundred eighty-two thousand, four hundred sixty-four".