342494979789312 has 960 divisors, whose sum is σ = 1209116146613760. Its totient is φ = 95392997941248.

The previous prime is 342494979789307. The next prime is 342494979789337. The reversal of 342494979789312 is 213987979494243.

342494979789312 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 9 + 497 + 97 + 8 + 9 + 31 + 2 = 666.

It is a super-2 number, since 2×342494979789312² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15233497623 + ... + 15233520105.

It is an arithmetic number, because the mean of its divisors is an integer number (1259495986056).

Almost surely, 2^{342494979789312} is an apocalyptic number.

342494979789312 is a gapful number since it is divisible by the number (32) 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 342494979789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604558073306880).

342494979789312 is an abundant number, since it is smaller than the sum of its proper divisors (866621166824448).

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

342494979789312 is a wasteful number, since it uses less digits than its factorization.

342494979789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23090 (or 23061 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 342494979789312 in words is "three hundred forty-two trillion, four hundred ninety-four billion, nine hundred seventy-nine million, seven hundred eighty-nine thousand, three hundred twelve".