111441343737456 has 240 divisors, whose sum is σ = 337580574888960. Its totient is φ = 34213290693120.

The previous prime is 111441343737431. The next prime is 111441343737467. The reversal of 111441343737456 is 654737343144111.

111441343737456 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 413 + 43 + 73 + 74 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33668871 + ... + 36830361.

It is an arithmetic number, because the mean of its divisors is an integer number (1406585728704).

Almost surely, 2^{111441343737456} is an apocalyptic number.

111441343737456 is a gapful number since it is divisible by the number (16) 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 111441343737456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168790287444480).

111441343737456 is an abundant number, since it is smaller than the sum of its proper divisors (226139231151504).

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

111441343737456 is a wasteful number, since it uses less digits than its factorization.

111441343737456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161924 (or 3161915 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 111441343737456 in words is "one hundred eleven trillion, four hundred forty-one billion, three hundred forty-three million, seven hundred thirty-seven thousand, four hundred fifty-six".