14542086129984 has 224 divisors, whose sum is σ = 49897872629760. Its totient is φ = 4066479853056.

The previous prime is 14542086129983. The next prime is 14542086130021. The reversal of 14542086129984 is 48992168024541.

It is a happy number.

14542086129984 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 2 + 0 + 8 + 612 + 9 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14542086129984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14542086129983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12221092 + ... + 13358115.

Almost surely, 2^{14542086129984} is an apocalyptic number.

14542086129984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14542086129984 is an abundant number, since it is smaller than the sum of its proper divisors (35355786499776).

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

14542086129984 is a wasteful number, since it uses less digits than its factorization.

14542086129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25579282 (or 25579266 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 14542086129984 in words is "fourteen trillion, five hundred forty-two billion, eighty-six million, one hundred twenty-nine thousand, nine hundred eighty-four".