345759409152 has 264 divisors, whose sum is σ = 1030180359936. Its totient is φ = 111610773504.

The previous prime is 345759409133. The next prime is 345759409153. The reversal of 345759409152 is 251904957543.

345759409152 is a `hidden beast` number, since 3 + 45 + 7 + 594 + 0 + 9 + 1 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (345759409153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76038943 + ... + 76043489.

Almost surely, 2^345759409152 is an apocalyptic number.

345759409152 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 345759409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515090179968).

345759409152 is an abundant number, since it is smaller than the sum of its proper divisors (684420950784).

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

345759409152 is a wasteful number, since it uses less digits than its factorization.

345759409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 345759409152 in words is "three hundred forty-five billion, seven hundred fifty-nine million, four hundred nine thousand, one hundred fifty-two".