14572348416 has 242 divisors, whose sum is σ = 43876761302. Its totient is φ = 4837294080.

The previous prime is 14572348411. The next prime is 14572348423. The reversal of 14572348416 is 61484327541.

14572348416 is a `hidden beast` number, since 1 + 4 + 572 + 34 + 8 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13604889600 + 967458816 = 116640^2 + 31104^2 .

It is not an unprimeable number, because it can be changed into a prime (14572348411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 60466056 + ... + 60466296.

It is an arithmetic number, because the mean of its divisors is an integer number (181308931).

Almost surely, 2^14572348416 is an apocalyptic number.

14572348416 is a gapful number since it is divisible by the number (16) 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 14572348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21938380651).

14572348416 is an abundant number, since it is smaller than the sum of its proper divisors (29304412886).

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

14572348416 is an frugal number, since it uses more digits than its factorization.

14572348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 246 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 14572348416 in words is "fourteen billion, five hundred seventy-two million, three hundred forty-eight thousand, four hundred sixteen".