14334207552 has 672 divisors, whose sum is σ = 52185661440. Its totient is φ = 3840721920.

The previous prime is 14334207541. The next prime is 14334207557. The reversal of 14334207552 is 25570243341.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×14334207552² (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 not an unprimeable number, because it can be changed into a prime (14334207557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112867713 + ... + 112867839.

Almost surely, 2^14334207552 is an apocalyptic number.

14334207552 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 14334207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092830720).

14334207552 is an abundant number, since it is smaller than the sum of its proper divisors (37851453888).

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

14334207552 is a wasteful number, since it uses less digits than its factorization.

14334207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 14334207552 in words is "fourteen billion, three hundred thirty-four million, two hundred seven thousand, five hundred fifty-two".