34546345050132 has 96 divisors (see below), whose sum is σ = 91035410444160. Its totient is φ = 11326354467840.

The previous prime is 34546345050121. The next prime is 34546345050187. The reversal of 34546345050132 is 23105054364543.

34546345050132 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 6 + 3 + 4 + 505 + 0 + 132 = 666.

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, 413374983 + ... + 413458545.

It is an arithmetic number, because the mean of its divisors is an integer number (948285525460).

Almost surely, 2^{34546345050132} is an apocalyptic number.

It is an amenable number.

34546345050132 is an abundant number, since it is smaller than the sum of its proper divisors (56489065394028).

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

34546345050132 is a wasteful number, since it uses less digits than its factorization.

34546345050132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146390 (or 146382 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 34546345050132 in words is "thirty-four trillion, five hundred forty-six billion, three hundred forty-five million, fifty thousand, one hundred thirty-two".