345192263424 has 216 divisors, whose sum is σ = 1032637237632. Its totient is φ = 110782586880.

The previous prime is 345192263399. The next prime is 345192263441. The reversal of 345192263424 is 424362291543.

345192263424 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 9 + 2 + 2 + 634 + 2 + 4 = 666.

It is a super-6 number, since 6×345192263424⁶ (a number of 71 digits) contains 666666 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345192263424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14058262 + ... + 14082794.

It is an arithmetic number, because the mean of its divisors is an integer number (4780727952).

Almost surely, 2^345192263424 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 345192263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516318618816).

345192263424 is an abundant number, since it is smaller than the sum of its proper divisors (687444974208).

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

345192263424 is a wasteful number, since it uses less digits than its factorization.

345192263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24783 (or 24766 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 345192263424 in words is "three hundred forty-five billion, one hundred ninety-two million, two hundred sixty-three thousand, four hundred twenty-four".