491101758954 has 96 divisors (see below), whose sum is σ = 1129860525456. Its totient is φ = 153632194560.

The previous prime is 491101758949. The next prime is 491101758967. The reversal of 491101758954 is 459857101194.

491101758954 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 0 + 1 + 7 + 589 + 54 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 439310468025 + 51791290929 = 662805^2 + 227577^2 .

It is a super-3 number, since 3×491101758954³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 491101758954.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227255634 + ... + 227257794.

Almost surely, 2^491101758954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491101758954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564930262728).

491101758954 is an abundant number, since it is smaller than the sum of its proper divisors (638758766502).

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

491101758954 is a wasteful number, since it uses less digits than its factorization.

491101758954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 491101758954 in words is "four hundred ninety-one billion, one hundred one million, seven hundred fifty-eight thousand, nine hundred fifty-four".