14346121632 has 48 divisors (see below), whose sum is σ = 37827498240. Its totient is φ = 4760589312.

The previous prime is 14346121609. The next prime is 14346121651. The reversal of 14346121632 is 23612164341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14346121632² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14346121593 and 14346121602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313657 + ... + 356472.

It is an arithmetic number, because the mean of its divisors is an integer number (788072880).

Almost surely, 2^14346121632 is an apocalyptic number.

14346121632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14346121632 is an abundant number, since it is smaller than the sum of its proper divisors (23481376608).

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

14346121632 is a wasteful number, since it uses less digits than its factorization.

14346121632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670365 (or 670357 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 14346121632 its reverse (23612164341), we get a palindrome (37958285973).

The spelling of 14346121632 in words is "fourteen billion, three hundred forty-six million, one hundred twenty-one thousand, six hundred thirty-two".