54405366350445 has 32 divisors (see below), whose sum is σ = 105513437773440. Its totient is φ = 26378359441920.

The previous prime is 54405366350383. The next prime is 54405366350459.

54405366350445 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 5 + 36 + 63 + 504 + 45 = 666.

54405366350445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54405366350445 - 2¹¹ = 54405366348397 is a prime.

It is a super-2 number, since 2×54405366350445² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54405366350391 and 54405366350400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18318303684 + ... + 18318306653.

It is an arithmetic number, because the mean of its divisors is an integer number (3297294930420).

Almost surely, 2^{54405366350445} is an apocalyptic number.

54405366350445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54405366350445 is a deficient number, since it is larger than the sum of its proper divisors (51108071422995).

54405366350445 is a wasteful number, since it uses less digits than its factorization.

54405366350445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36636610362 (or 36636610356 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 54405366350445 in words is "fifty-four trillion, four hundred five billion, three hundred sixty-six million, three hundred fifty thousand, four hundred forty-five".