112964362560 has 1344 divisors, whose sum is σ = 485682462720. Its totient is φ = 24455208960.

The previous prime is 112964362549. The next prime is 112964362561. The reversal of 112964362560 is 65263469211.

112964362560 is a `hidden beast` number, since 1 + 1 + 29 + 6 + 4 + 3 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112964362561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1429928601 + ... + 1429928679.

It is an arithmetic number, because the mean of its divisors is an integer number (361370880).

Almost surely, 2^112964362560 is an apocalyptic number.

112964362560 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 112964362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841231360).

112964362560 is an abundant number, since it is smaller than the sum of its proper divisors (372718100160).

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

112964362560 is an equidigital number, since it uses as much as digits as its factorization.

112964362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 112964362560 in words is "one hundred twelve billion, nine hundred sixty-four million, three hundred sixty-two thousand, five hundred sixty".