112673146569984 has 3456 divisors, whose sum is σ = 466880799616000. Its totient is φ = 26942115594240.

The previous prime is 112673146569983. The next prime is 112673146569989. The reversal of 112673146569984 is 489965641376211.

112673146569984 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 73 + 1 + 465 + 6 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112673146569983) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 302072778822 + ... + 302072779194.

Almost surely, 2^{112673146569984} is an apocalyptic number.

112673146569984 is a gapful number since it is divisible by the number (14) 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 112673146569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233440399808000).

112673146569984 is an abundant number, since it is smaller than the sum of its proper divisors (354207653046016).

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

112673146569984 is an frugal number, since it uses more digits than its factorization.

112673146569984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 409 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 112673146569984 in words is "one hundred twelve trillion, six hundred seventy-three billion, one hundred forty-six million, five hundred sixty-nine thousand, nine hundred eighty-four".