1131961348000 has 576 divisors, whose sum is σ = 3339019127808. Its totient is φ = 375840460800.

The previous prime is 1131961347989. The next prime is 1131961348069. The reversal of 1131961348000 is 8431691311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948835404 + ... + 948836596.

It is an arithmetic number, because the mean of its divisors is an integer number (5796908208).

Almost surely, 2^{1131961348000} is an apocalyptic number.

1131961348000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131961348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669509563904).

1131961348000 is an abundant number, since it is smaller than the sum of its proper divisors (2207057779808).

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

1131961348000 is a wasteful number, since it uses less digits than its factorization.

1131961348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 1131961348000 in words is "one trillion, one hundred thirty-one billion, nine hundred sixty-one million, three hundred forty-eight thousand".