112477188096 has 312 divisors, whose sum is σ = 399881998880. Its totient is φ = 29663428608.

The previous prime is 112477188079. The next prime is 112477188107. The reversal of 112477188096 is 690881774211.

112477188096 is a `hidden beast` number, since 1 + 1 + 2 + 477 + 1 + 8 + 80 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×112477188096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3337860 + ... + 3371388.

Almost surely, 2^112477188096 is an apocalyptic number.

112477188096 is a gapful number since it is divisible by the number (16) 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 112477188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940999440).

112477188096 is an abundant number, since it is smaller than the sum of its proper divisors (287404810784).

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

112477188096 is a wasteful number, since it uses less digits than its factorization.

112477188096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33579 (or 33554 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 112477188096 in words is "one hundred twelve billion, four hundred seventy-seven million, one hundred eighty-eight thousand, ninety-six".