34545056250 has 96 divisors (see below), whose sum is σ = 86488589376. Its totient is φ = 9198000000.

The previous prime is 34545056237. The next prime is 34545056317. The reversal of 34545056250 is 5265054543.

34545056250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34545056250² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34545056199 and 34545056208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19705374 + ... + 19707126.

It is an arithmetic number, because the mean of its divisors is an integer number (900922806).

Almost surely, 2^34545056250 is an apocalyptic number.

34545056250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34545056250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43244294688).

34545056250 is an abundant number, since it is smaller than the sum of its proper divisors (51943533126).

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

34545056250 is a wasteful number, since it uses less digits than its factorization.

34545056250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 34545056250 in words is "thirty-four billion, five hundred forty-five million, fifty-six thousand, two hundred fifty".