9014961312 has 288 divisors, whose sum is σ = 31722364800. Its totient is φ = 2439548928.

The previous prime is 9014961301. The next prime is 9014961313. The reversal of 9014961312 is 2131694109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9014961312² (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 not an unprimeable number, because it can be changed into a prime (9014961313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2181264 + ... + 2185392.

It is an arithmetic number, because the mean of its divisors is an integer number (110147100).

Almost surely, 2^9014961312 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 9014961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861182400).

9014961312 is an abundant number, since it is smaller than the sum of its proper divisors (22707403488).

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

9014961312 is a wasteful number, since it uses less digits than its factorization.

9014961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9014961312 is about 94947.1500994106. The cubic root of 9014961312 is about 2081.2358065423.

The spelling of 9014961312 in words is "nine billion, fourteen million, nine hundred sixty-one thousand, three hundred twelve".