493748136000 has 2240 divisors, whose sum is σ = 2333580986880. Its totient is φ = 100329062400.

The previous prime is 493748135989. The next prime is 493748136001. The reversal of 493748136000 is 631847394.

493748136000 is a `hidden beast` number, since 4 + 9 + 37 + 4 + 8 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493748136001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1465127832 + ... + 1465128168.

Almost surely, 2^493748136000 is an apocalyptic number.

493748136000 is a gapful number since it is divisible by the number (40) 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 493748136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166790493440).

493748136000 is an abundant number, since it is smaller than the sum of its proper divisors (1839832850880).

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

493748136000 is a wasteful number, since it uses less digits than its factorization.

493748136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 493748136000 in words is "four hundred ninety-three billion, seven hundred forty-eight million, one hundred thirty-six thousand".