34165225632054 has 512 divisors, whose sum is σ = 84249538560000. Its totient is φ = 9126875197440.

The previous prime is 34165225632023. The next prime is 34165225632061. The reversal of 34165225632054 is 45023652256143.

It is a junction number, because it is equal to n+sod(n) for n = 34165225631994 and 34165225632012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11392204447 + ... + 11392207445.

It is an arithmetic number, because the mean of its divisors is an integer number (164549880000).

Almost surely, 2^{34165225632054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34165225632054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42124769280000).

34165225632054 is an abundant number, since it is smaller than the sum of its proper divisors (50084312927946).

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

34165225632054 is a wasteful number, since it uses less digits than its factorization.

34165225632054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260.

The product of its (nonzero) digits is 5184000, while the sum is 48.

Adding to 34165225632054 its reverse (45023652256143), we get a palindrome (79188877888197).

The spelling of 34165225632054 in words is "thirty-four trillion, one hundred sixty-five billion, two hundred twenty-five million, six hundred thirty-two thousand, fifty-four".