11467900416 has 160 divisors (see below), whose sum is σ = 35629862400. Its totient is φ = 3276392448.

The previous prime is 11467900393. The next prime is 11467900421. The reversal of 11467900416 is 61400976411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515965 + ... + 537731.

It is an arithmetic number, because the mean of its divisors is an integer number (222686640).

Almost surely, 2^11467900416 is an apocalyptic number.

11467900416 is a gapful number since it is divisible by the number (16) 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 11467900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17814931200).

11467900416 is an abundant number, since it is smaller than the sum of its proper divisors (24161961984).

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

11467900416 is an frugal number, since it uses more digits than its factorization.

11467900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21809 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 11467900416 in words is "eleven billion, four hundred sixty-seven million, nine hundred thousand, four hundred sixteen".