110016131472 has 320 divisors, whose sum is σ = 357512117760. Its totient is φ = 32137814016.

The previous prime is 110016131441. The next prime is 110016131543. The reversal of 110016131472 is 274131610011.

110016131472 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 613 + 1 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17692908 + ... + 17699124.

It is an arithmetic number, because the mean of its divisors is an integer number (1117225368).

Almost surely, 2^110016131472 is an apocalyptic number.

110016131472 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 110016131472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178756058880).

110016131472 is an abundant number, since it is smaller than the sum of its proper divisors (247495986288).

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

110016131472 is a wasteful number, since it uses less digits than its factorization.

110016131472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 110016131472 its reverse (274131610011), we get a palindrome (384147741483).

The spelling of 110016131472 in words is "one hundred ten billion, sixteen million, one hundred thirty-one thousand, four hundred seventy-two".