10454066304 has 128 divisors (see below), whose sum is σ = 31887648000. Its totient is φ = 3001144320.

The previous prime is 10454066297. The next prime is 10454066339. The reversal of 10454066304 is 40366045401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15127 + ... + 145385.

It is an arithmetic number, because the mean of its divisors is an integer number (249122250).

Almost surely, 2^10454066304 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 10454066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943824000).

10454066304 is an abundant number, since it is smaller than the sum of its proper divisors (21433581696).

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

10454066304 is a wasteful number, since it uses less digits than its factorization.

10454066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130306 (or 130294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 10454066304 in words is "ten billion, four hundred fifty-four million, sixty-six thousand, three hundred four".