342752578339248 has 1080 divisors, whose sum is σ = 1261983812897808. Its totient is φ = 86474158848000.

The previous prime is 342752578339243. The next prime is 342752578339271. The reversal of 342752578339248 is 842933875257243.

342752578339248 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 5 + 2 + 578 + 3 + 3 + 9 + 2 + 48 = 666.

It is a super-3 number, since 3×342752578339248³ (a number of 45 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (342752578339243) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6644912818 + ... + 6644964398.

Almost surely, 2^{342752578339248} 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 342752578339248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630991906448904).

342752578339248 is an abundant number, since it is smaller than the sum of its proper divisors (919231234558560).

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

342752578339248 is a wasteful number, since it uses less digits than its factorization.

342752578339248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51855 (or 51828 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 342752578339248 in words is "three hundred forty-two trillion, seven hundred fifty-two billion, five hundred seventy-eight million, three hundred thirty-nine thousand, two hundred forty-eight".