142456740806016 has 3072 divisors, whose sum is σ = 574519028428800. Its totient is φ = 34101848309760.

The previous prime is 142456740805969. The next prime is 142456740806027. The reversal of 142456740806016 is 610608047654241.

142456740806016 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 567 + 4 + 0 + 8 + 0 + 60 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115163088150 + ... + 115163089386.

It is an arithmetic number, because the mean of its divisors is an integer number (187017912900).

Almost surely, 2^{142456740806016} is an apocalyptic number.

142456740806016 is a gapful number since it is divisible by the number (16) 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 142456740806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287259514214400).

142456740806016 is an abundant number, since it is smaller than the sum of its proper divisors (432062287622784).

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

142456740806016 is a wasteful number, since it uses less digits than its factorization.

142456740806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 142456740806016 in words is "one hundred forty-two trillion, four hundred fifty-six billion, seven hundred forty million, eight hundred six thousand, sixteen".