491762212992 has 360 divisors, whose sum is σ = 1499839673805. Its totient is φ = 159945891840.

The previous prime is 491762212987. The next prime is 491762213057. The reversal of 491762212992 is 299212267194.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

491762212992 is a `hidden beast` number, since 4 + 9 + 1 + 7 + 622 + 1 + 2 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 490481718336 + 1280494656 = 700344^2 + 35784^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=495864.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5069713488 + ... + 5069713584.

Almost surely, 2^491762212992 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 491762212992

491762212992 is an abundant number, since it is smaller than the sum of its proper divisors (1008077460813).

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

491762212992 is an frugal number, since it uses more digits than its factorization.

491762212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 173 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 491762212992 in words is "four hundred ninety-one billion, seven hundred sixty-two million, two hundred twelve thousand, nine hundred ninety-two".