112965782016 has 240 divisors, whose sum is σ = 313550547552. Its totient is φ = 36133109760.

The previous prime is 112965782003. The next prime is 112965782021. The reversal of 112965782016 is 610287569211.

It is a happy number.

It is a super-2 number, since 2×112965782016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172994746 + ... + 172995398.

Almost surely, 2^112965782016 is an apocalyptic number.

112965782016 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 112965782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156775273776).

112965782016 is an abundant number, since it is smaller than the sum of its proper divisors (200584765536).

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

112965782016 is an frugal number, since it uses more digits than its factorization.

112965782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 112965782016 in words is "one hundred twelve billion, nine hundred sixty-five million, seven hundred eighty-two thousand, sixteen".