493631136738432 has 5760 divisors, whose sum is σ = 2140720986096000. Its totient is φ = 110067670056960.

The previous prime is 493631136738427. The next prime is 493631136738497. The reversal of 493631136738432 is 234837631136394.

493631136738432 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 31 + 136 + 7 + 38 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 493631136738432.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1398388489168 + ... + 1398388489520.

It is an arithmetic number, because the mean of its divisors is an integer number (371652948975).

Almost surely, 2^{493631136738432} is an apocalyptic number.

493631136738432 is a gapful number since it is divisible by the number (42) 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 493631136738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070360493048000).

493631136738432 is an abundant number, since it is smaller than the sum of its proper divisors (1647089849357568).

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

493631136738432 is a wasteful number, since it uses less digits than its factorization.

493631136738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 441 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 63.

The spelling of 493631136738432 in words is "four hundred ninety-three trillion, six hundred thirty-one billion, one hundred thirty-six million, seven hundred thirty-eight thousand, four hundred thirty-two".