111738949206720 has 224 divisors, whose sum is σ = 387286243577856. Its totient is φ = 27069811507200.

The previous prime is 111738949206719. The next prime is 111738949206733. The reversal of 111738949206720 is 27602949837111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11937112 + ... + 19130408.

It is an arithmetic number, because the mean of its divisors is an integer number (1728956444544).

Almost surely, 2^{111738949206720} is an apocalyptic number.

111738949206720 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 111738949206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193643121788928).

111738949206720 is an abundant number, since it is smaller than the sum of its proper divisors (275547294371136).

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

111738949206720 is a wasteful number, since it uses less digits than its factorization.

111738949206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194799 (or 7194789 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 111738949206720 in words is "one hundred eleven trillion, seven hundred thirty-eight billion, nine hundred forty-nine million, two hundred six thousand, seven hundred twenty".