1290818644164 has 405 divisors, whose sum is σ = 4013049017439. Its totient is φ = 360747807840.

The previous prime is 1290818644127. The next prime is 1290818644207. The reversal of 1290818644164 is 4614468180921.

The square root of 1290818644164 is 1136142.

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

1290818644164 is a `hidden beast` number, since 1 + 2 + 90 + 81 + 8 + 64 + 416 + 4 = 666.

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 1290818644164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10163926269 + ... + 10163926395.

Almost surely, 2^{1290818644164} is an apocalyptic number.

1290818644164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1290818644164 is the 1136142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290818644164

1290818644164 is an abundant number, since it is smaller than the sum of its proper divisors (2722230373275).

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

1290818644164 is an equidigital number, since it uses as much as digits as its factorization.

1290818644164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1290818644164 in words is "one trillion, two hundred ninety billion, eight hundred eighteen million, six hundred forty-four thousand, one hundred sixty-four".