1183509800956 has 96 divisors (see below), whose sum is σ = 2543256576000. Its totient is φ = 480370080960.

The previous prime is 1183509800953. The next prime is 1183509800981. The reversal of 1183509800956 is 6590089053811.

It is a junction number, because it is equal to n+sod(n) for n = 1183509800897 and 1183509800906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1183509800953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120872421 + ... + 120882211.

It is an arithmetic number, because the mean of its divisors is an integer number (26492256000).

Almost surely, 2^{1183509800956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1183509800956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271628288000).

1183509800956 is an abundant number, since it is smaller than the sum of its proper divisors (1359746775044).

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

1183509800956 is a wasteful number, since it uses less digits than its factorization.

1183509800956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 1183509800956 in words is "one trillion, one hundred eighty-three billion, five hundred nine million, eight hundred thousand, nine hundred fifty-six".