34414146500 has 48 divisors (see below), whose sum is σ = 75373801776. Its totient is φ = 13726592000.

The previous prime is 34414146491. The next prime is 34414146539. The reversal of 34414146500 is 564141443.

It can be written as a sum of positive squares in 8 ways, for example, as 18990493636 + 15423652864 = 137806^2 + 124192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79010 + ... + 273990.

It is an arithmetic number, because the mean of its divisors is an integer number (1570287537).

Almost surely, 2^34414146500 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 34414146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37686900888).

34414146500 is an abundant number, since it is smaller than the sum of its proper divisors (40959655276).

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

34414146500 is a wasteful number, since it uses less digits than its factorization.

34414146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195353 (or 195341 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 34414146500 its reverse (564141443), we get a palindrome (34978287943).

The spelling of 34414146500 in words is "thirty-four billion, four hundred fourteen million, one hundred forty-six thousand, five hundred".