1162876966944 has 1152 divisors, whose sum is σ = 4207382839296. Its totient is φ = 272802816000.

The previous prime is 1162876966931. The next prime is 1162876966949. The reversal of 1162876966944 is 4496696782611.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (1162876966949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6424734534 + ... + 6424734714.

It is an arithmetic number, because the mean of its divisors is an integer number (3652242048).

Almost surely, 2^{1162876966944} is an apocalyptic number.

1162876966944 is a gapful number since it is divisible by the number (14) 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 1162876966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103691419648).

1162876966944 is an abundant number, since it is smaller than the sum of its proper divisors (3044505872352).

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

1162876966944 is a wasteful number, since it uses less digits than its factorization.

1162876966944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 69.

The spelling of 1162876966944 in words is "one trillion, one hundred sixty-two billion, eight hundred seventy-six million, nine hundred sixty-six thousand, nine hundred forty-four".