14289125760 has 960 divisors, whose sum is σ = 63421094880. Its totient is φ = 3001909248.

The previous prime is 14289125759. The next prime is 14289125761. The reversal of 14289125760 is 6752198241.

It is an interprime number because it is at equal distance from previous prime (14289125759) and next prime (14289125761).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×14289125760² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14289125761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61326604 + ... + 61326836.

Almost surely, 2^14289125760 is an apocalyptic number.

14289125760 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 14289125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710547440).

14289125760 is an abundant number, since it is smaller than the sum of its proper divisors (49131969120).

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

14289125760 is a wasteful number, since it uses less digits than its factorization.

14289125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14289125760 in words is "fourteen billion, two hundred eighty-nine million, one hundred twenty-five thousand, seven hundred sixty".