112954464 has 144 divisors (see below), whose sum is σ = 375927552. Its totient is φ = 31497984.

The previous prime is 112954459. The next prime is 112954537. The reversal of 112954464 is 464459211.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86037 + ... + 87339.

It is an arithmetic number, because the mean of its divisors is an integer number (2610608).

Almost surely, 2^112954464 is an apocalyptic number.

112954464 is a gapful number since it is divisible by the number (14) 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 112954464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187963776).

112954464 is an abundant number, since it is smaller than the sum of its proper divisors (262973088).

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

112954464 is a wasteful number, since it uses less digits than its factorization.

112954464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1358 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 112954464 is about 10628.0037636425. The cubic root of 112954464 is about 483.3938636307.

The spelling of 112954464 in words is "one hundred twelve million, nine hundred fifty-four thousand, four hundred sixty-four".