345035101152 has 384 divisors, whose sum is σ = 1081327822848. Its totient is φ = 94290739200.

The previous prime is 345035101079. The next prime is 345035101163. The reversal of 345035101152 is 251101530543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455792358 + ... + 455793114.

It is an arithmetic number, because the mean of its divisors is an integer number (2815957872).

Almost surely, 2^345035101152 is an apocalyptic number.

345035101152 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 345035101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540663911424).

345035101152 is an abundant number, since it is smaller than the sum of its proper divisors (736292721696).

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

345035101152 is a wasteful number, since it uses less digits than its factorization.

345035101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 345035101152 its reverse (251101530543), we get a palindrome (596136631695).

The spelling of 345035101152 in words is "three hundred forty-five billion, thirty-five million, one hundred one thousand, one hundred fifty-two".