393000132096 has 1280 divisors, whose sum is σ = 1449267240960. Its totient is φ = 104376729600.

The previous prime is 393000132079. The next prime is 393000132121. The reversal of 393000132096 is 690231000393.

It is a happy number.

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 393000132096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7415096806 + ... + 7415096858.

It is an arithmetic number, because the mean of its divisors is an integer number (1132240032).

Almost surely, 2^393000132096 is an apocalyptic number.

393000132096 is a gapful number since it is divisible by the number (36) 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 393000132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724633620480).

393000132096 is an abundant number, since it is smaller than the sum of its proper divisors (1056267108864).

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

393000132096 is a wasteful number, since it uses less digits than its factorization.

393000132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 393000132096 in words is "three hundred ninety-three billion, one hundred thirty-two thousand, ninety-six".