342657180959016 has 256 divisors, whose sum is σ = 1083128709611520. Its totient is φ = 87743152224000.

The previous prime is 342657180958999. The next prime is 342657180959017. The reversal of 342657180959016 is 610959081756243.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (342657180959017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2551534831 + ... + 2551669121.

It is an arithmetic number, because the mean of its divisors is an integer number (4230971521920).

It is a 1-persistent number, because it is pandigital, but 2⋅342657180959016 = 685314361918032 is not.

Almost surely, 2^{342657180959016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342657180959016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541564354805760).

342657180959016 is an abundant number, since it is smaller than the sum of its proper divisors (740471528652504).

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

342657180959016 is a wasteful number, since it uses less digits than its factorization.

342657180959016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153836 (or 153832 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 342657180959016 in words is "three hundred forty-two trillion, six hundred fifty-seven billion, one hundred eighty million, nine hundred fifty-nine thousand, sixteen".