34416048966 has 32 divisors (see below), whose sum is σ = 74200220640. Its totient is φ = 10579075584.

The previous prime is 34416048949. The next prime is 34416049001. The reversal of 34416048966 is 66984061443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138771 + ... + 296798.

It is an arithmetic number, because the mean of its divisors is an integer number (2318756895).

Almost surely, 2^34416048966 is an apocalyptic number.

34416048966 is an abundant number, since it is smaller than the sum of its proper divisors (39784171674).

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

34416048966 is a wasteful number, since it uses less digits than its factorization.

34416048966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436600.

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 34416048966 in words is "thirty-four billion, four hundred sixteen million, forty-eight thousand, nine hundred sixty-six".