1162948716800 has 864 divisors, whose sum is σ = 3418158307200. Its totient is φ = 387939041280.

The previous prime is 1162948716791. The next prime is 1162948716803. The reversal of 1162948716800 is 86178492611.

It is a Cunningham number, because it is equal to 1078401²-1.

It is not an unprimeable number, because it can be changed into a prime (1162948716803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3450886232 + ... + 3450886568.

Almost surely, 2^{1162948716800} is an apocalyptic number.

1162948716800 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 1162948716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709079153600).

1162948716800 is an abundant number, since it is smaller than the sum of its proper divisors (2255209590400).

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

1162948716800 is a wasteful number, since it uses less digits than its factorization.

1162948716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 1162948716800 in words is "one trillion, one hundred sixty-two billion, nine hundred forty-eight million, seven hundred sixteen thousand, eight hundred".