11467431360 has 672 divisors, whose sum is σ = 50851368960. Its totient is φ = 2381322240.

The previous prime is 11467431329. The next prime is 11467431383. The reversal of 11467431360 is 6313476411.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11467431360² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7317297 + ... + 7318863.

It is an arithmetic number, because the mean of its divisors is an integer number (75671680).

Almost surely, 2^11467431360 is an apocalyptic number.

11467431360 is a gapful number since it is divisible by the number (10) 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 11467431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425684480).

11467431360 is an abundant number, since it is smaller than the sum of its proper divisors (39383937600).

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

11467431360 is a wasteful number, since it uses less digits than its factorization.

11467431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11467431360 in words is "eleven billion, four hundred sixty-seven million, four hundred thirty-one thousand, three hundred sixty".