112632791040 has 1008 divisors, whose sum is σ = 502510934016. Its totient is φ = 22649241600.

The previous prime is 112632791023. The next prime is 112632791059. The reversal of 112632791040 is 40197236211.

112632791040 is a `hidden beast` number, since 1 + 1 + 2 + 632 + 7 + 9 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×112632791040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112632790986 and 112632791004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633315825 + ... + 3633315855.

It is an arithmetic number, because the mean of its divisors is an integer number (498522752).

Almost surely, 2^112632791040 is an apocalyptic number.

112632791040 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 112632791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251255467008).

112632791040 is an abundant number, since it is smaller than the sum of its proper divisors (389878142976).

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

112632791040 is an frugal number, since it uses more digits than its factorization.

112632791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 112632791040 in words is "one hundred twelve billion, six hundred thirty-two million, seven hundred ninety-one thousand, forty".