14334472152 has 960 divisors, whose sum is σ = 56776104000. Its totient is φ = 3353011200.

The previous prime is 14334472123. The next prime is 14334472177. The reversal of 14334472152 is 25127443341.

14334472152 is a `hidden beast` number, since 1 + 4 + 3 + 34 + 472 + 152 = 666.

It is a super-2 number, since 2×14334472152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 349621252 + ... + 349621292.

It is an arithmetic number, because the mean of its divisors is an integer number (59141775).

Almost surely, 2^14334472152 is an apocalyptic number.

14334472152 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 14334472152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28388052000).

14334472152 is an abundant number, since it is smaller than the sum of its proper divisors (42441631848).

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

14334472152 is a wasteful number, since it uses less digits than its factorization.

14334472152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

It can be divided in two parts, 143344 and 72152, that added together give a triangular number (215496 = T₆₅₆).

The spelling of 14334472152 in words is "fourteen billion, three hundred thirty-four million, four hundred seventy-two thousand, one hundred fifty-two".