1161345154144 has 96 divisors (see below), whose sum is σ = 2804635181376. Its totient is φ = 462024622080.

The previous prime is 1161345154051. The next prime is 1161345154147. The reversal of 1161345154144 is 4414515431611.

It is a super-2 number, since 2×1161345154144² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1161345154097 and 1161345154106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161345154147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1810887 + ... + 2366854.

It is an arithmetic number, because the mean of its divisors is an integer number (29214949806).

Almost surely, 2^{1161345154144} is an apocalyptic number.

1161345154144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1161345154144 is an abundant number, since it is smaller than the sum of its proper divisors (1643290027232).

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

1161345154144 is a wasteful number, since it uses less digits than its factorization.

1161345154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177848 (or 4177840 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The spelling of 1161345154144 in words is "one trillion, one hundred sixty-one billion, three hundred forty-five million, one hundred fifty-four thousand, one hundred forty-four".