110745124896 has 192 divisors, whose sum is σ = 354151526400. Its totient is φ = 29596409856.

The previous prime is 110745124793. The next prime is 110745124907. The reversal of 110745124896 is 698421547011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953776 + ... + 1063568.

It is an arithmetic number, because the mean of its divisors is an integer number (1844539200).

Almost surely, 2^110745124896 is an apocalyptic number.

110745124896 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 110745124896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177075763200).

110745124896 is an abundant number, since it is smaller than the sum of its proper divisors (243406401504).

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

110745124896 is a wasteful number, since it uses less digits than its factorization.

110745124896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109911 (or 109903 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

It can be divided in two parts, 110745 and 124896, that added together give a triangular number (235641 = T₆₈₆).

The spelling of 110745124896 in words is "one hundred ten billion, seven hundred forty-five million, one hundred twenty-four thousand, eight hundred ninety-six".