9993150514000 has 160 divisors (see below), whose sum is σ = 25049990983680. Its totient is φ = 3851708544000.

The previous prime is 9993150513967. The next prime is 9993150514007. The reversal of 9993150514000 is 4150513999.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993150514007) 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, 14100121 + ... + 14791879.

It is an arithmetic number, because the mean of its divisors is an integer number (156562443648).

Almost surely, 2^{9993150514000} 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 9993150514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524995491840).

9993150514000 is an abundant number, since it is smaller than the sum of its proper divisors (15056840469680).

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

9993150514000 is a wasteful number, since it uses less digits than its factorization.

9993150514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692046 (or 692030 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 46.

The spelling of 9993150514000 in words is "nine trillion, nine hundred ninety-three billion, one hundred fifty million, five hundred fourteen thousand".