1171312681984 has 99 divisors (see below), whose sum is σ = 2421669347283. Its totient is φ = 566244710400.

The previous prime is 1171312681969. The next prime is 1171312681991. The reversal of 1171312681984 is 4891862131711.

The square root of 1171312681984 is 1082272.

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

It is a super-2 number, since 2×1171312681984² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1073613279 + ... + 1073614369.

Almost surely, 2^{1171312681984} is an apocalyptic number.

1171312681984 is the 1082272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1171312681984

1171312681984 is an abundant number, since it is smaller than the sum of its proper divisors (1250356665299).

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

1171312681984 is an frugal number, since it uses more digits than its factorization.

1171312681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 1124 counting only the distinct ones).

The product of its digits is 580608, while the sum is 52.

The spelling of 1171312681984 in words is "one trillion, one hundred seventy-one billion, three hundred twelve million, six hundred eighty-one thousand, nine hundred eighty-four".