54357675345 has 32 divisors (see below), whose sum is σ = 96847434240. Its totient is φ = 28927290240.

The previous prime is 54357675343. The next prime is 54357675349.

54357675345 is a `hidden beast` number, since 5 + 4 + 35 + 76 + 7 + 534 + 5 = 666.

54357675345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54357675345 - 2¹ = 54357675343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54357675291 and 54357675300.

It is not an unprimeable number, because it can be changed into a prime (54357675343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378841 + ... + 502230.

It is an arithmetic number, because the mean of its divisors is an integer number (3026482320).

Almost surely, 2^54357675345 is an apocalyptic number.

It is an amenable number.

54357675345 is a deficient number, since it is larger than the sum of its proper divisors (42489758895).

54357675345 is a wasteful number, since it uses less digits than its factorization.

54357675345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881542 (or 881536 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 54.

The spelling of 54357675345 in words is "fifty-four billion, three hundred fifty-seven million, six hundred seventy-five thousand, three hundred forty-five".