11491669905408 has 1456 divisors, whose sum is σ = 43372054275072. Its totient is φ = 2956124160000.

The previous prime is 11491669905337. The next prime is 11491669905427. The reversal of 11491669905408 is 80450996619411.

11491669905408 is a `hidden beast` number, since 1 + 1 + 491 + 6 + 6 + 9 + 90 + 54 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34718035803 + ... + 34718036133.

Almost surely, 2^{11491669905408} is an apocalyptic number.

11491669905408 is a gapful number since it is divisible by the number (18) 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 11491669905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686027137536).

11491669905408 is an abundant number, since it is smaller than the sum of its proper divisors (31880384369664).

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

11491669905408 is an equidigital number, since it uses as much as digits as its factorization.

11491669905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 11491669905408 in words is "eleven trillion, four hundred ninety-one billion, six hundred sixty-nine million, nine hundred five thousand, four hundred eight".