10454116608 has 504 divisors, whose sum is σ = 35030562560. Its totient is φ = 3090493440.

The previous prime is 10454116601. The next prime is 10454116619. The reversal of 10454116608 is 80661145401.

10454116608 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 41 + 1 + 6 + 608 = 666.

It is a super-2 number, since 2×10454116608² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10454116601) 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, 75209403 + ... + 75209541.

Almost surely, 2^10454116608 is an apocalyptic number.

10454116608 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 10454116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515281280).

10454116608 is an abundant number, since it is smaller than the sum of its proper divisors (24576445952).

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

10454116608 is an equidigital number, since it uses as much as digits as its factorization.

10454116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10454116608 in words is "ten billion, four hundred fifty-four million, one hundred sixteen thousand, six hundred eight".