104461291008 has 560 divisors, whose sum is σ = 336676125456. Its totient is φ = 32248627200.

The previous prime is 104461291001. The next prime is 104461291009. The reversal of 104461291008 is 800192164401.

104461291008 is a `hidden beast` number, since 104 + 461 + 2 + 91 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×104461291008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104461291001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 640866735 + ... + 640866897.

Almost surely, 2^104461291008 is an apocalyptic number.

104461291008 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 104461291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168338062728).

104461291008 is an abundant number, since it is smaller than the sum of its proper divisors (232214834448).

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

104461291008 is an equidigital number, since it uses as much as digits as its factorization.

104461291008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 104461291008 in words is "one hundred four billion, four hundred sixty-one million, two hundred ninety-one thousand, eight".