112737838348800 has 4320 divisors, whose sum is σ = 525858674140800. Its totient is φ = 23776873021440.

The previous prime is 112737838348757. The next prime is 112737838348813. The reversal of 112737838348800 is 8843838737211.

112737838348800 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 78 + 3 + 83 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×112737838348800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 101657202646 + ... + 101657203754.

It is an arithmetic number, because the mean of its divisors is an integer number (121726544940).

Almost surely, 2^{112737838348800} is an apocalyptic number.

112737838348800 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 112737838348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262929337070400).

112737838348800 is an abundant number, since it is smaller than the sum of its proper divisors (413120835792000).

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

112737838348800 is a wasteful number, since it uses less digits than its factorization.

112737838348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 112737838348800 in words is "one hundred twelve trillion, seven hundred thirty-seven billion, eight hundred thirty-eight million, three hundred forty-eight thousand, eight hundred".