941248350000000 has 6048 divisors, whose sum is σ = 4468147556057280. Its totient is φ = 195955200000000.

The previous prime is 941248349999987. The next prime is 941248350000011. The reversal of 941248350000000 is 53842149.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 941248350000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 30362849999985 + ... + 30362850000015.

Almost surely, 2^{941248350000000} is an apocalyptic number.

941248350000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941248350000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234073778028640).

941248350000000 is an abundant number, since it is smaller than the sum of its proper divisors (3526899206057280).

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

941248350000000 is an frugal number, since it uses more digits than its factorization.

941248350000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 941248350000000 in words is "nine hundred forty-one trillion, two hundred forty-eight billion, three hundred fifty million", and thus it is an aban number.