491465415168 has 1600 divisors, whose sum is σ = 1964075541120. Its totient is φ = 120171921408.

The previous prime is 491465415047. The next prime is 491465415271. The reversal of 491465415168 is 861514564194.

491465415168 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 65 + 415 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7335304671 + ... + 7335304737.

Almost surely, 2^491465415168 is an apocalyptic number.

491465415168 is a gapful number since it is divisible by the number (48) 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 491465415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982037770560).

491465415168 is an abundant number, since it is smaller than the sum of its proper divisors (1472610125952).

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

491465415168 is an equidigital number, since it uses as much as digits as its factorization.

491465415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 491465415168 in words is "four hundred ninety-one billion, four hundred sixty-five million, four hundred fifteen thousand, one hundred sixty-eight".