9541001113600 has 312 divisors, whose sum is σ = 26699671267920. Its totient is φ = 3349807104000.

The previous prime is 9541001113597. The next prime is 9541001113613. The reversal of 9541001113600 is 63111001459.

9541001113600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32519560 + ... + 32811640.

Almost surely, 2^{9541001113600} 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 9541001113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349835633960).

9541001113600 is an abundant number, since it is smaller than the sum of its proper divisors (17158670154320).

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

9541001113600 is a wasteful number, since it uses less digits than its factorization.

9541001113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292155 (or 292128 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 9541001113600 in words is "nine trillion, five hundred forty-one billion, one million, one hundred thirteen thousand, six hundred".