142346395975680 has 3024 divisors, whose sum is σ = 581383542990096. Its totient is φ = 33389511966720.

The previous prime is 142346395975643. The next prime is 142346395975687. The reversal of 142346395975680 is 86579593643241.

142346395975680 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 4 + 6 + 3 + 9 + 59 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 142346395975599 and 142346395975608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142346395975687) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3310381301739 + ... + 3310381301781.

It is an arithmetic number, because the mean of its divisors is an integer number (192256462629).

It is a 2-persistent number, because it is pandigital, and so is 2⋅142346395975680 = 284692791951360, but 3⋅142346395975680 = 427039187927040 is not.

Almost surely, 2^{142346395975680} is an apocalyptic number.

142346395975680 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 142346395975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290691771495048).

142346395975680 is an abundant number, since it is smaller than the sum of its proper divisors (439037147014416).

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

142346395975680 is an frugal number, since it uses more digits than its factorization.

142346395975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 142346395975680 in words is "one hundred forty-two trillion, three hundred forty-six billion, three hundred ninety-five million, nine hundred seventy-five thousand, six hundred eighty".