10454600664 has 224 divisors, whose sum is σ = 30748101120. Its totient is φ = 3327645888.

The previous prime is 10454600623. The next prime is 10454600671. The reversal of 10454600664 is 46600645401.

10454600664 is a `hidden beast` number, since 1 + 0 + 45 + 4 + 600 + 6 + 6 + 4 = 666.

10454600664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11786029 + ... + 11786915.

Almost surely, 2^10454600664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10454600664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374050560).

10454600664 is an abundant number, since it is smaller than the sum of its proper divisors (20293500456).

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

10454600664 is an equidigital number, since it uses as much as digits as its factorization.

10454600664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10454600664 in words is "ten billion, four hundred fifty-four million, six hundred thousand, six hundred sixty-four".