112909464 has 72 divisors (see below), whose sum is σ = 318443580. Its totient is φ = 37480320.

The previous prime is 112909417. The next prime is 112909469. The reversal of 112909464 is 464909211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112909469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 468384 + ... + 468624.

Almost surely, 2^112909464 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 112909464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159221790).

112909464 is an abundant number, since it is smaller than the sum of its proper divisors (205534116).

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

112909464 is an frugal number, since it uses more digits than its factorization.

112909464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 112909464 is about 10625.8865041934. The cubic root of 112909464 is about 483.3296619090.

The spelling of 112909464 in words is "one hundred twelve million, nine hundred nine thousand, four hundred sixty-four".