493471095346944 has 2160 divisors, whose sum is σ = 1810385562585600. Its totient is φ = 132642823864320.

The previous prime is 493471095346921. The next prime is 493471095346967. The reversal of 493471095346944 is 449643590174394.

493471095346944 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 7 + 109 + 53 + 469 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (493471095346921) and next prime (493471095346967).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 220397986977 + ... + 220397989215.

It is an arithmetic number, because the mean of its divisors is an integer number (838141464160).

Almost surely, 2^{493471095346944} is an apocalyptic number.

493471095346944 is a gapful number since it is divisible by the number (44) 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 493471095346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905192781292800).

493471095346944 is an abundant number, since it is smaller than the sum of its proper divisors (1316914467238656).

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

493471095346944 is a wasteful number, since it uses less digits than its factorization.

493471095346944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 493471095346944 in words is "four hundred ninety-three trillion, four hundred seventy-one billion, ninety-five million, three hundred forty-six thousand, nine hundred forty-four".