10454845401 has 72 divisors (see below), whose sum is σ = 20429864000. Its totient is φ = 5013264960.

The previous prime is 10454845391. The next prime is 10454845409.

10454845401 is a `hidden beast` number, since 104 + 5 + 4 + 8 + 4 + 540 + 1 = 666.

10454845401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10454845401 - 2⁵ = 10454845369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10454845409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46350 + ... + 151848.

Almost surely, 2^10454845401 is an apocalyptic number.

10454845401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10454845401 is a deficient number, since it is larger than the sum of its proper divisors (9975018599).

10454845401 is a wasteful number, since it uses less digits than its factorization.

10454845401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105547 (or 105533 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 10454845401 in words is "ten billion, four hundred fifty-four million, eight hundred forty-five thousand, four hundred one".