345152254400 has 84 divisors (see below), whose sum is σ = 849833008992. Its totient is φ = 137972674560.

The previous prime is 345152254399. The next prime is 345152254423. The reversal of 345152254400 is 4452251543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464664 + ... + 2600936.

Almost surely, 2^345152254400 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 345152254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424916504496).

345152254400 is an abundant number, since it is smaller than the sum of its proper divisors (504680754592).

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

345152254400 is a wasteful number, since it uses less digits than its factorization.

345152254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137878 (or 137863 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 345152254400 in words is "three hundred forty-five billion, one hundred fifty-two million, two hundred fifty-four thousand, four hundred".