34345514502 has 96 divisors (see below), whose sum is σ = 84731512320. Its totient is φ = 9967250880.

The previous prime is 34345514453. The next prime is 34345514503. The reversal of 34345514502 is 20541554343.

34345514502 is a `hidden beast` number, since 34 + 34 + 551 + 45 + 0 + 2 = 666.

It is a super-2 number, since 2×34345514502² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345514503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992227 + ... + 1026257.

It is an arithmetic number, because the mean of its divisors is an integer number (882619920).

Almost surely, 2^34345514502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345514502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42365756160).

34345514502 is an abundant number, since it is smaller than the sum of its proper divisors (50385997818).

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

34345514502 is a wasteful number, since it uses less digits than its factorization.

34345514502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34298 (or 34295 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34345514502 in words is "thirty-four billion, three hundred forty-five million, five hundred fourteen thousand, five hundred two".