1161105310624 has 192 divisors, whose sum is σ = 2655855820800. Its totient is φ = 489450221568.

The previous prime is 1161105310621. The next prime is 1161105310633. The reversal of 1161105310624 is 4260135011611.

It is not an unprimeable number, because it can be changed into a prime (1161105310621) 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, 2507786617 + ... + 2507787079.

It is an arithmetic number, because the mean of its divisors is an integer number (13832582400).

Almost surely, 2^{1161105310624} is an apocalyptic number.

1161105310624 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 1161105310624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327927910400).

1161105310624 is an abundant number, since it is smaller than the sum of its proper divisors (1494750510176).

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

1161105310624 is a wasteful number, since it uses less digits than its factorization.

1161105310624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 1161105310624 in words is "one trillion, one hundred sixty-one billion, one hundred five million, three hundred ten thousand, six hundred twenty-four".