1161345109776 has 40 divisors (see below), whose sum is σ = 3026691472800. Its totient is φ = 383689238016.

The previous prime is 1161345109759. The next prime is 1161345109777. The reversal of 1161345109776 is 6779015431611.

It is not an unprimeable number, because it can be changed into a prime (1161345109777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107050726 + ... + 107061573.

It is an arithmetic number, because the mean of its divisors is an integer number (75667286820).

Almost surely, 2^{1161345109776} is an apocalyptic number.

1161345109776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1161345109776 is an abundant number, since it is smaller than the sum of its proper divisors (1865346363024).

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

1161345109776 is a wasteful number, since it uses less digits than its factorization.

1161345109776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214112423 (or 214112417 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 1161345109776 in words is "one trillion, one hundred sixty-one billion, three hundred forty-five million, one hundred nine thousand, seven hundred seventy-six".