112709076480 has 1920 divisors, whose sum is σ = 546511021056. Its totient is φ = 21499084800.

The previous prime is 112709076463. The next prime is 112709076503. The reversal of 112709076480 is 84670907211.

It is a happy number.

112709076480 is a `hidden beast` number, since 1 + 12 + 7 + 0 + 90 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622701990 + ... + 622702170.

Almost surely, 2^112709076480 is an apocalyptic number.

112709076480 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 112709076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273255510528).

112709076480 is an abundant number, since it is smaller than the sum of its proper divisors (433801944576).

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

112709076480 is a wasteful number, since it uses less digits than its factorization.

112709076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 112709076480 in words is "one hundred twelve billion, seven hundred nine million, seventy-six thousand, four hundred eighty".