112299967146640 has 640 divisors, whose sum is σ = 330985855549440. Its totient is φ = 34489525248000.

The previous prime is 112299967146637. The next prime is 112299967146677. The reversal of 112299967146640 is 46641769992211.

It is a super-2 number, since 2×112299967146640² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22233212115 + ... + 22233217165.

It is an arithmetic number, because the mean of its divisors is an integer number (517165399296).

Almost surely, 2^{112299967146640} is an apocalyptic number.

112299967146640 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 112299967146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165492927774720).

112299967146640 is an abundant number, since it is smaller than the sum of its proper divisors (218685888402800).

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

112299967146640 is a wasteful number, since it uses less digits than its factorization.

112299967146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 67.

The spelling of 112299967146640 in words is "one hundred twelve trillion, two hundred ninety-nine billion, nine hundred sixty-seven million, one hundred forty-six thousand, six hundred forty".