9958906034448 has 160 divisors (see below), whose sum is σ = 30452046777600. Its totient is φ = 2744061401088.

The previous prime is 9958906034437. The next prime is 9958906034453. The reversal of 9958906034448 is 8444306098599.

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, 7712538 + ... + 8910726.

It is an arithmetic number, because the mean of its divisors is an integer number (190325292360).

Almost surely, 2^{9958906034448} 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 9958906034448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226023388800).

9958906034448 is an abundant number, since it is smaller than the sum of its proper divisors (20493140743152).

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

9958906034448 is a wasteful number, since it uses less digits than its factorization.

9958906034448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199089 (or 1199083 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 9958906034448 in words is "nine trillion, nine hundred fifty-eight billion, nine hundred six million, thirty-four thousand, four hundred forty-eight".