11417467104 has 480 divisors, whose sum is σ = 37541750400. Its totient is φ = 3388096512.

The previous prime is 11417467091. The next prime is 11417467157. The reversal of 11417467104 is 40176471411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76627222 + ... + 76627370.

It is an arithmetic number, because the mean of its divisors is an integer number (78211980).

Almost surely, 2^11417467104 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 11417467104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770875200).

11417467104 is an abundant number, since it is smaller than the sum of its proper divisors (26124283296).

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

11417467104 is a wasteful number, since it uses less digits than its factorization.

11417467104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11417467104 in words is "eleven billion, four hundred seventeen million, four hundred sixty-seven thousand, one hundred four".