112783049280 has 672 divisors, whose sum is σ = 447658638336. Its totient is φ = 25804800000.

The previous prime is 112783049263. The next prime is 112783049293. The reversal of 112783049280 is 82940387211.

It is a happy number.

112783049280 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 83 + 0 + 492 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 40263880 + ... + 40266680.

It is an arithmetic number, because the mean of its divisors is an integer number (666158688).

Almost surely, 2^112783049280 is an apocalyptic number.

112783049280 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 112783049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223829319168).

112783049280 is an abundant number, since it is smaller than the sum of its proper divisors (334875589056).

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

112783049280 is a wasteful number, since it uses less digits than its factorization.

112783049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 112783049280 in words is "one hundred twelve billion, seven hundred eighty-three million, forty-nine thousand, two hundred eighty".