1163372905344 has 256 divisors, whose sum is σ = 3357976043520. Its totient is φ = 354740871168.

The previous prime is 1163372905307. The next prime is 1163372905397. The reversal of 1163372905344 is 4435092733611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1163372905293 and 1163372905302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311643702 + ... + 311647434.

It is an arithmetic number, because the mean of its divisors is an integer number (13117093920).

Almost surely, 2^{1163372905344} 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 1163372905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678988021760).

1163372905344 is an abundant number, since it is smaller than the sum of its proper divisors (2194603138176).

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

1163372905344 is a wasteful number, since it uses less digits than its factorization.

1163372905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 1163372905344 in words is "one trillion, one hundred sixty-three billion, three hundred seventy-two million, nine hundred five thousand, three hundred forty-four".