112867045920 has 240 divisors, whose sum is σ = 399976980480. Its totient is φ = 30097039104.

The previous prime is 112867045853. The next prime is 112867045931. The reversal of 112867045920 is 29540768211.

112867045920 is a `hidden beast` number, since 1 + 128 + 6 + 70 + 459 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3131361 + ... + 3167199.

It is an arithmetic number, because the mean of its divisors is an integer number (1666570752).

Almost surely, 2^112867045920 is an apocalyptic number.

112867045920 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 112867045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199988490240).

112867045920 is an abundant number, since it is smaller than the sum of its proper divisors (287109934560).

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

112867045920 is an frugal number, since it uses more digits than its factorization.

112867045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35881 (or 35849 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 112867045920 in words is "one hundred twelve billion, eight hundred sixty-seven million, forty-five thousand, nine hundred twenty".