111275234741664 has 480 divisors, whose sum is σ = 386373415228416. Its totient is φ = 30743422525440.

The previous prime is 111275234741611. The next prime is 111275234741677. The reversal of 111275234741664 is 466147432572111.

111275234741664 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 7 + 5 + 2 + 3 + 474 + 166 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 111275234741664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 729439542 + ... + 729592074.

Almost surely, 2^{111275234741664} is an apocalyptic number.

111275234741664 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 111275234741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193186707614208).

111275234741664 is an abundant number, since it is smaller than the sum of its proper divisors (275098180486752).

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

111275234741664 is a wasteful number, since it uses less digits than its factorization.

111275234741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153890 (or 153873 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 111275234741664 in words is "one hundred eleven trillion, two hundred seventy-five billion, two hundred thirty-four million, seven hundred forty-one thousand, six hundred sixty-four".