54456400465445 has 32 divisors (see below), whose sum is σ = 73009782376704. Its totient is φ = 38656063180800.

The previous prime is 54456400465427. The next prime is 54456400465447.

54456400465445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54456400465445 - 2¹⁰ = 54456400464421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54456400465447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47834921 + ... + 48960110.

It is an arithmetic number, because the mean of its divisors is an integer number (2281555699272).

Almost surely, 2^{54456400465445} is an apocalyptic number.

54456400465445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54456400465445 is a deficient number, since it is larger than the sum of its proper divisors (18553381911259).

54456400465445 is a wasteful number, since it uses less digits than its factorization.

54456400465445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96795293.

The product of its (nonzero) digits is 92160000, while the sum is 56.

The spelling of 54456400465445 in words is "fifty-four trillion, four hundred fifty-six billion, four hundred million, four hundred sixty-five thousand, four hundred forty-five".