7353274820112 has 320 divisors, whose sum is σ = 23525560934400. Its totient is φ = 2183763939840.

The previous prime is 7353274820071. The next prime is 7353274820119. The reversal of 7353274820112 is 2110284723537.

7353274820112 is a `hidden beast` number, since 7 + 3 + 53 + 2 + 7 + 482 + 0 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (7353274820119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65926663 + ... + 66038105.

It is an arithmetic number, because the mean of its divisors is an integer number (73517377920).

Almost surely, 2^{7353274820112} is an apocalyptic number.

7353274820112 is a gapful number since it is divisible by the number (72) 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 7353274820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762780467200).

7353274820112 is an abundant number, since it is smaller than the sum of its proper divisors (16172286114288).

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

7353274820112 is a wasteful number, since it uses less digits than its factorization.

7353274820112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111883 (or 111871 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7353274820112 in words is "seven trillion, three hundred fifty-three billion, two hundred seventy-four million, eight hundred twenty thousand, one hundred twelve".