4352272474368 has 1728 divisors, whose sum is σ = 16339201224192. Its totient is φ = 1013695119360.

The previous prime is 4352272474367. The next prime is 4352272474373. The reversal of 4352272474368 is 8634742722534.

It is a happy number.

4352272474368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4352272474368³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4352272474367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11668290630 + ... + 11668291002.

It is an arithmetic number, because the mean of its divisors is an integer number (9455556264).

Almost surely, 2^{4352272474368} is an apocalyptic number.

4352272474368 is a gapful number since it is divisible by the number (48) 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 4352272474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169600612096).

4352272474368 is an abundant number, since it is smaller than the sum of its proper divisors (11986928749824).

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

4352272474368 is a wasteful number, since it uses less digits than its factorization.

4352272474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 499 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 57.

The spelling of 4352272474368 in words is "four trillion, three hundred fifty-two billion, two hundred seventy-two million, four hundred seventy-four thousand, three hundred sixty-eight".