1164561041904 has 480 divisors, whose sum is σ = 3534183797760. Its totient is φ = 328232798208.

The previous prime is 1164561041893. The next prime is 1164561041909. The reversal of 1164561041904 is 4091401654611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164561041909) 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, 1055811817 + ... + 1055812919.

It is an arithmetic number, because the mean of its divisors is an integer number (7362882912).

Almost surely, 2^{1164561041904} 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 1164561041904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767091898880).

1164561041904 is an abundant number, since it is smaller than the sum of its proper divisors (2369622755856).

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

1164561041904 is a wasteful number, since it uses less digits than its factorization.

1164561041904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1164561041904 in words is "one trillion, one hundred sixty-four billion, five hundred sixty-one million, forty-one thousand, nine hundred four".