1161100901544 has 256 divisors, whose sum is σ = 3193082726400. Its totient is φ = 350383104000.

The previous prime is 1161100901507. The next prime is 1161100901617. The reversal of 1161100901544 is 4451090011611.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351102339 + ... + 351105645.

It is an arithmetic number, because the mean of its divisors is an integer number (12472979400).

Almost surely, 2^{1161100901544} 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 1161100901544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596541363200).

1161100901544 is an abundant number, since it is smaller than the sum of its proper divisors (2031981824856).

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

1161100901544 is a wasteful number, since it uses less digits than its factorization.

1161100901544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 1161100901544 in words is "one trillion, one hundred sixty-one billion, one hundred million, nine hundred one thousand, five hundred forty-four".