112533435540 has 288 divisors, whose sum is σ = 361667900160. Its totient is φ = 29047680000.

The previous prime is 112533435533. The next prime is 112533435551. The reversal of 112533435540 is 45534335211.

112533435540 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 34 + 35 + 540 = 666.

It is a super-2 number, since 2×112533435540² (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 = 112533435495 and 112533435504.

It is a congruent number.

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, 137068330 + ... + 137069150.

It is an arithmetic number, because the mean of its divisors is an integer number (1255791320).

Almost surely, 2^112533435540 is an apocalyptic number.

112533435540 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 112533435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180833950080).

112533435540 is an abundant number, since it is smaller than the sum of its proper divisors (249134464620).

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

112533435540 is a wasteful number, since it uses less digits than its factorization.

112533435540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 112533435540 in words is "one hundred twelve billion, five hundred thirty-three million, four hundred thirty-five thousand, five hundred forty".