1159735946848 has 96 divisors (see below), whose sum is σ = 2359331089920. Its totient is φ = 560877335040.

The previous prime is 1159735946819. The next prime is 1159735946849. The reversal of 1159735946848 is 8486495379511.

It is a super-2 number, since 2×1159735946848² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159735946849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119027865 + ... + 119037607.

It is an arithmetic number, because the mean of its divisors is an integer number (24576365520).

Almost surely, 2^{1159735946848} 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 1159735946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179665544960).

1159735946848 is an abundant number, since it is smaller than the sum of its proper divisors (1199595143072).

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

1159735946848 is an equidigital number, since it uses as much as digits as its factorization.

1159735946848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10812 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 70.

The spelling of 1159735946848 in words is "one trillion, one hundred fifty-nine billion, seven hundred thirty-five million, nine hundred forty-six thousand, eight hundred forty-eight".