9393149961000 has 1536 divisors, whose sum is σ = 37553181120000. Its totient is φ = 2170956902400.

The previous prime is 9393149960963. The next prime is 9393149961031. The reversal of 9393149961000 is 1699413939.

9393149961000 is a `hidden beast` number, since 9 + 3 + 9 + 3 + 14 + 9 + 9 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22418018791 + ... + 22418019209.

It is an arithmetic number, because the mean of its divisors is an integer number (24448685625).

Almost surely, 2^{9393149961000} is an apocalyptic number.

9393149961000 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 9393149961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776590560000).

9393149961000 is an abundant number, since it is smaller than the sum of its proper divisors (28160031159000).

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

9393149961000 is a wasteful number, since it uses less digits than its factorization.

9393149961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 9393149961000 in words is "nine trillion, three hundred ninety-three billion, one hundred forty-nine million, nine hundred sixty-one thousand".