14133929760 has 576 divisors, whose sum is σ = 53792968320. Its totient is φ = 3503305728.

The previous prime is 14133929759. The next prime is 14133929791. The reversal of 14133929760 is 6792933141.

14133929760 is a `hidden beast` number, since 1 + 413 + 3 + 92 + 97 + 60 = 666.

It is a super-2 number, since 2×14133929760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266677894 + ... + 266677946.

It is an arithmetic number, because the mean of its divisors is an integer number (93390570).

Almost surely, 2^14133929760 is an apocalyptic number.

14133929760 is a gapful number since it is divisible by the number (10) 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 14133929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26896484160).

14133929760 is an abundant number, since it is smaller than the sum of its proper divisors (39659038560).

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

14133929760 is an frugal number, since it uses more digits than its factorization.

14133929760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 14133929760 in words is "fourteen billion, one hundred thirty-three million, nine hundred twenty-nine thousand, seven hundred sixty".