10349089416 has 80 divisors (see below), whose sum is σ = 29179275840. Its totient is φ = 3426818400.

The previous prime is 10349089393. The next prime is 10349089417. The reversal of 10349089416 is 61498094301.

It is not an unprimeable number, because it can be changed into a prime (10349089417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44965 + ... + 150731.

It is an arithmetic number, because the mean of its divisors is an integer number (364740948).

Almost surely, 2^10349089416 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 10349089416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589637920).

10349089416 is an abundant number, since it is smaller than the sum of its proper divisors (18830186424).

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

10349089416 is a wasteful number, since it uses less digits than its factorization.

10349089416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105936 (or 105923 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10349089416 in words is "ten billion, three hundred forty-nine million, eighty-nine thousand, four hundred sixteen".