14312068277760 has 960 divisors, whose sum is σ = 59374518787584. Its totient is φ = 3265472102400.

The previous prime is 14312068277711. The next prime is 14312068277761. The reversal of 14312068277760 is 6777286021341.

14312068277760 is a `hidden beast` number, since 1 + 431 + 2 + 0 + 6 + 82 + 7 + 77 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14312068277697 and 14312068277706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312068277761) 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, 116267445 + ... + 116390475.

Almost surely, 2^{14312068277760} is an apocalyptic number.

14312068277760 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 14312068277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29687259393792).

14312068277760 is an abundant number, since it is smaller than the sum of its proper divisors (45062450509824).

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

14312068277760 is a wasteful number, since it uses less digits than its factorization.

14312068277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123097 (or 123069 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 14312068277760 in words is "fourteen trillion, three hundred twelve billion, sixty-eight million, two hundred seventy-seven thousand, seven hundred sixty".