34515610054044 has 768 divisors, whose sum is σ = 102521670451200. Its totient is φ = 8820359847936.

The previous prime is 34515610053989. The next prime is 34515610054073. The reversal of 34515610054044 is 44045001651543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34515610053987 and 34515610054005.

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, 117800716762 + ... + 117800717054.

It is an arithmetic number, because the mean of its divisors is an integer number (133491758400).

Almost surely, 2^{34515610054044} 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 34515610054044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51260835225600).

34515610054044 is an abundant number, since it is smaller than the sum of its proper divisors (68006060397156).

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

34515610054044 is a wasteful number, since it uses less digits than its factorization.

34515610054044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 34515610054044 in words is "thirty-four trillion, five hundred fifteen billion, six hundred ten million, fifty-four thousand, forty-four".