112149080957760 has 2688 divisors, whose sum is σ = 477911543316480. Its totient is φ = 22003417497600.

The previous prime is 112149080957677. The next prime is 112149080957773. The reversal of 112149080957760 is 67759080941211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 112149080957694 and 112149080957703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 154262834517 + ... + 154262835243.

It is an arithmetic number, because the mean of its divisors is an integer number (177794472960).

Almost surely, 2^{112149080957760} is an apocalyptic number.

112149080957760 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 112149080957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238955771658240).

112149080957760 is an abundant number, since it is smaller than the sum of its proper divisors (365762462358720).

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

112149080957760 is a wasteful number, since it uses less digits than its factorization.

112149080957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 112149080957760 in words is "one hundred twelve trillion, one hundred forty-nine billion, eighty million, nine hundred fifty-seven thousand, seven hundred sixty".