1917416245264 has 135 divisors (see below), whose sum is σ = 4161541549149. Its totient is φ = 855417214080.

The previous prime is 1917416245259. The next prime is 1917416245319. The reversal of 1917416245264 is 4625426147191.

The square root of 1917416245264 is 1384708.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 283641456400 + 1633774788864 = 532580^2 + 1278192^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2232148867 + ... + 2232149725.

Almost surely, 2^{1917416245264} is an apocalyptic number.

1917416245264 is the 1384708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1917416245264

1917416245264 is an abundant number, since it is smaller than the sum of its proper divisors (2244125303885).

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

1917416245264 is an frugal number, since it uses more digits than its factorization.

1917416245264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 905 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 1917416245264 in words is "one trillion, nine hundred seventeen billion, four hundred sixteen million, two hundred forty-five thousand, two hundred sixty-four".