34555351115142 has 192 divisors, whose sum is σ = 89451129261312. Its totient is φ = 9502048224000.

The previous prime is 34555351115113. The next prime is 34555351115143. The reversal of 34555351115142 is 24151115355543.

34555351115142 is a `hidden beast` number, since 3 + 4 + 5 + 553 + 5 + 1 + 1 + 1 + 51 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34555351115143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284291593 + ... + 284413115.

It is an arithmetic number, because the mean of its divisors is an integer number (465891298236).

Almost surely, 2^{34555351115142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34555351115142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44725564630656).

34555351115142 is an abundant number, since it is smaller than the sum of its proper divisors (54895778146170).

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

34555351115142 is a wasteful number, since it uses less digits than its factorization.

34555351115142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123427 (or 123424 counting only the distinct ones).

The product of its digits is 900000, while the sum is 45.

The spelling of 34555351115142 in words is "thirty-four trillion, five hundred fifty-five billion, three hundred fifty-one million, one hundred fifteen thousand, one hundred forty-two".