110048863159872 has 4032 divisors, whose sum is σ = 456991004736000. Its totient is φ = 25835328110592.

The previous prime is 110048863159871. The next prime is 110048863159883. The reversal of 110048863159872 is 278951368840011.

110048863159872 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 4 + 8 + 8 + 6 + 31 + 598 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×110048863159872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (110048863159871) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1236504080404 + ... + 1236504080492.

It is an arithmetic number, because the mean of its divisors is an integer number (113341023000).

It is a 1-persistent number, because it is pandigital, but 2⋅110048863159872 = 220097726319744 is not.

Almost surely, 2^{110048863159872} is an apocalyptic number.

110048863159872 is a gapful number since it is divisible by the number (12) 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 110048863159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228495502368000).

110048863159872 is an abundant number, since it is smaller than the sum of its proper divisors (346942141576128).

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

110048863159872 is a wasteful number, since it uses less digits than its factorization.

110048863159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 110048863159872 in words is "one hundred ten trillion, forty-eight billion, eight hundred sixty-three million, one hundred fifty-nine thousand, eight hundred seventy-two".