1098144709776 has 315 divisors, whose sum is σ = 3306812028777. Its totient is φ = 353108471040.

The previous prime is 1098144709769. The next prime is 1098144709777. The reversal of 1098144709776 is 6779074418901.

The square root of 1098144709776 is 1047924.

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

1098144709776 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 4 + 470 + 97 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7005690000 + 1091139019776 = 83700^2 + 1044576^2 .

It is not an unprimeable number, because it can be changed into a prime (1098144709777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3508449396 + ... + 3508449708.

Almost surely, 2^{1098144709776} is an apocalyptic number.

1098144709776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1098144709776 is the 1047924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1098144709776

1098144709776 is an abundant number, since it is smaller than the sum of its proper divisors (2208667319001).

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

1098144709776 is an frugal number, since it uses more digits than its factorization.

1098144709776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 1098144709776 in words is "one trillion, ninety-eight billion, one hundred forty-four million, seven hundred nine thousand, seven hundred seventy-six".