491264016465600 has 2268 divisors, whose sum is σ = 2176588438845912. Its totient is φ = 108662645145600.

The previous prime is 491264016465559. The next prime is 491264016465601. The reversal of 491264016465600 is 6564610462194.

491264016465600 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 64 + 0 + 16 + 4 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is not an unprimeable number, because it can be changed into a prime (491264016465601) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 18308189784 + ... + 18308216616.

Almost surely, 2^{491264016465600} is an apocalyptic number.

491264016465600 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 491264016465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088294219422956).

491264016465600 is an abundant number, since it is smaller than the sum of its proper divisors (1685324422380312).

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

491264016465600 is a wasteful number, since it uses less digits than its factorization.

491264016465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26946 (or 26881 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 491264016465600 in words is "four hundred ninety-one trillion, two hundred sixty-four billion, sixteen million, four hundred sixty-five thousand, six hundred".