14461391952 has 270 divisors, whose sum is σ = 48778872558. Its totient is φ = 3987712512.

The previous prime is 14461391927. The next prime is 14461391993. The reversal of 14461391952 is 25919316441.

14461391952 is a `hidden beast` number, since 1 + 446 + 13 + 9 + 195 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5830238736 + 8631153216 = 76356^2 + 92904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14461391898 and 14461391907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5932878 + ... + 5935314.

Almost surely, 2^14461391952 is an apocalyptic number.

14461391952 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 14461391952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24389436279).

14461391952 is an abundant number, since it is smaller than the sum of its proper divisors (34317480606).

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

14461391952 is a wasteful number, since it uses less digits than its factorization.

14461391952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2478 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 14461391952 in words is "fourteen billion, four hundred sixty-one million, three hundred ninety-one thousand, nine hundred fifty-two".