34515114542320 has 160 divisors (see below), whose sum is σ = 82263934771200. Its totient is φ = 13464142728192.

The previous prime is 34515114542213. The next prime is 34515114542357. The reversal of 34515114542320 is 2324541151543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253155289 + ... + 253291591.

It is an arithmetic number, because the mean of its divisors is an integer number (514149592320).

Almost surely, 2^{34515114542320} 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 34515114542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41131967385600).

34515114542320 is an abundant number, since it is smaller than the sum of its proper divisors (47748820228880).

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

34515114542320 is a wasteful number, since it uses less digits than its factorization.

34515114542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136887 (or 136881 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 34515114542320 its reverse (2324541151543), we get a palindrome (36839655693863).

The spelling of 34515114542320 in words is "thirty-four trillion, five hundred fifteen billion, one hundred fourteen million, five hundred forty-two thousand, three hundred twenty".