10451091456 has 408 divisors, whose sum is σ = 34351087680. Its totient is φ = 3038773248.

The previous prime is 10451091449. The next prime is 10451091487. The reversal of 10451091456 is 65419015401.

10451091456 is a `hidden beast` number, since 1 + 0 + 4 + 510 + 91 + 4 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10451091456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222363625 + ... + 222363671.

Almost surely, 2^10451091456 is an apocalyptic number.

10451091456 is a gapful number since it is divisible by the number (16) 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 10451091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175543840).

10451091456 is an abundant number, since it is smaller than the sum of its proper divisors (23899996224).

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

10451091456 is an equidigital number, since it uses as much as digits as its factorization.

10451091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10451091456 in words is "ten billion, four hundred fifty-one million, ninety-one thousand, four hundred fifty-six".