491836436025948 has 1152 divisors, whose sum is σ = 1504695871078400. Its totient is φ = 134089791897600.

The previous prime is 491836436025943. The next prime is 491836436026073. The reversal of 491836436025948 is 849520634638194.

491836436025948 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 3 + 6 + 4 + 3 + 602 + 5 + 9 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491836436025941) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 232766887740 + ... + 232766889852.

Almost surely, 2^{491836436025948} 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 491836436025948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752347935539200).

491836436025948 is an abundant number, since it is smaller than the sum of its proper divisors (1012859435052452).

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

491836436025948 is a wasteful number, since it uses less digits than its factorization.

491836436025948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 491836436025948 in words is "four hundred ninety-one trillion, eight hundred thirty-six billion, four hundred thirty-six million, twenty-five thousand, nine hundred forty-eight".