14800080067542 has 648 divisors, whose sum is σ = 42563213921592. Its totient is φ = 3702275216640.

The previous prime is 14800080067537. The next prime is 14800080067547. The reversal of 14800080067542 is 24576008000841.

14800080067542 is a `hidden beast` number, since 1 + 48 + 0 + 0 + 0 + 8 + 0 + 0 + 67 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (14800080067537) and next prime (14800080067547).

It is a super-2 number, since 2×14800080067542² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14800080067547) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 15795175698 + ... + 15795176634.

Almost surely, 2^{14800080067542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14800080067542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21281606960796).

14800080067542 is an abundant number, since it is smaller than the sum of its proper divisors (27763133854050).

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

14800080067542 is a wasteful number, since it uses less digits than its factorization.

14800080067542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 14800080067542 in words is "fourteen trillion, eight hundred billion, eighty million, sixty-seven thousand, five hundred forty-two".