345587159456 has 192 divisors, whose sum is σ = 888848142336. Its totient is φ = 128250777600.

The previous prime is 345587159443. The next prime is 345587159471. The reversal of 345587159456 is 654951785543.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13645301 + ... + 13670603.

It is an arithmetic number, because the mean of its divisors is an integer number (4629417408).

Almost surely, 2^345587159456 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 345587159456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444424071168).

345587159456 is an abundant number, since it is smaller than the sum of its proper divisors (543260982880).

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

345587159456 is a wasteful number, since it uses less digits than its factorization.

345587159456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25595 (or 25587 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 62.

The spelling of 345587159456 in words is "three hundred forty-five billion, five hundred eighty-seven million, one hundred fifty-nine thousand, four hundred fifty-six".