393009681504 has 96 divisors (see below), whose sum is σ = 1143886786560. Its totient is φ = 117141465600.

The previous prime is 393009681487. The next prime is 393009681509. The reversal of 393009681504 is 405186900393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393009681509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2986144 + ... + 3114975.

It is an arithmetic number, because the mean of its divisors is an integer number (11915487360).

Almost surely, 2^393009681504 is an apocalyptic number.

It is an amenable number.

393009681504 is an abundant number, since it is smaller than the sum of its proper divisors (750877105056).

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

393009681504 is a wasteful number, since it uses less digits than its factorization.

393009681504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101204 (or 6101196 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 393009681504 in words is "three hundred ninety-three billion, nine million, six hundred eighty-one thousand, five hundred four".