493597956096 has 288 divisors, whose sum is σ = 1725105301920. Its totient is φ = 132731633664.

The previous prime is 493597956083. The next prime is 493597956107. The reversal of 493597956096 is 690659795394.

493597956096 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 9 + 7 + 9 + 5 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×493597956096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2080890 + ... + 2305926.

It is an arithmetic number, because the mean of its divisors is an integer number (5989948965).

Almost surely, 2^493597956096 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 493597956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862552650960).

493597956096 is an abundant number, since it is smaller than the sum of its proper divisors (1231507345824).

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

493597956096 is a wasteful number, since it uses less digits than its factorization.

493597956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225089 (or 225066 counting only the distinct ones).

The product of its (nonzero) digits is 496011600, while the sum is 72.

The spelling of 493597956096 in words is "four hundred ninety-three billion, five hundred ninety-seven million, nine hundred fifty-six thousand, ninety-six".