34853131459664 has 60 divisors (see below), whose sum is σ = 78662166638400. Its totient is φ = 14916281333184.

The previous prime is 34853131459567. The next prime is 34853131459673. The reversal of 34853131459664 is 46695413135843.

It is a junction number, because it is equal to n+sod(n) for n = 34853131459597 and 34853131459606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30351134 + ... + 31478525.

It is an arithmetic number, because the mean of its divisors is an integer number (1311036110640).

Almost surely, 2^{34853131459664} is an apocalyptic number.

It is an amenable number.

34853131459664 is an abundant number, since it is smaller than the sum of its proper divisors (43809035178736).

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

34853131459664 is a wasteful number, since it uses less digits than its factorization.

34853131459664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61830400 (or 61830387 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 62.

The spelling of 34853131459664 in words is "thirty-four trillion, eight hundred fifty-three billion, one hundred thirty-one million, four hundred fifty-nine thousand, six hundred sixty-four".