110374030272 has 448 divisors, whose sum is σ = 357967848960. Its totient is φ = 29579673600.

The previous prime is 110374030271. The next prime is 110374030303. The reversal of 110374030272 is 272030473011.

It is a super-3 number, since 3×110374030272³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110374030271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93457522 + ... + 93458702.

Almost surely, 2^110374030272 is an apocalyptic number.

110374030272 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 110374030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178983924480).

110374030272 is an abundant number, since it is smaller than the sum of its proper divisors (247593818688).

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

110374030272 is a wasteful number, since it uses less digits than its factorization.

110374030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 110374030272 in words is "one hundred ten billion, three hundred seventy-four million, thirty thousand, two hundred seventy-two".