34413361554 has 192 divisors, whose sum is σ = 84158871552. Its totient is φ = 9246441600.

The previous prime is 34413361537. The next prime is 34413361573. The reversal of 34413361554 is 45516331443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126986439 + ... + 126986709.

It is an arithmetic number, because the mean of its divisors is an integer number (438327456).

Almost surely, 2^34413361554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34413361554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42079435776).

34413361554 is an abundant number, since it is smaller than the sum of its proper divisors (49745509998).

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

34413361554 is a wasteful number, since it uses less digits than its factorization.

34413361554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 414 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

Adding to 34413361554 its reverse (45516331443), we get a palindrome (79929692997).

The spelling of 34413361554 in words is "thirty-four billion, four hundred thirteen million, three hundred sixty-one thousand, five hundred fifty-four".