35116412630416 has 160 divisors (see below), whose sum is σ = 74715050180736. Its totient is φ = 15890688000000.

The previous prime is 35116412630407. The next prime is 35116412630419. The reversal of 35116412630416 is 61403621461153.

It is not an unprimeable number, because it can be changed into a prime (35116412630419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649573696 + ... + 6649578976.

Almost surely, 2^{35116412630416} 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 35116412630416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37357525090368).

35116412630416 is an abundant number, since it is smaller than the sum of its proper divisors (39598637550320).

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

35116412630416 is a wasteful number, since it uses less digits than its factorization.

35116412630416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 35116412630416 in words is "thirty-five trillion, one hundred sixteen billion, four hundred twelve million, six hundred thirty thousand, four hundred sixteen".