54365656345 has 192 divisors, whose sum is σ = 96719132160. Its totient is φ = 28413665280.

The previous prime is 54365656337. The next prime is 54365656349.

54365656345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54365656345 - 2³ = 54365656337 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 54365656292 and 54365656301.

It is not an unprimeable number, because it can be changed into a prime (54365656349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27141114 + ... + 27143116.

It is an arithmetic number, because the mean of its divisors is an integer number (503745480).

Almost surely, 2^54365656345 is an apocalyptic number.

54365656345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54365656345 is a deficient number, since it is larger than the sum of its proper divisors (42353475815).

54365656345 is a wasteful number, since it uses less digits than its factorization.

54365656345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2085 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 52.

The spelling of 54365656345 in words is "fifty-four billion, three hundred sixty-five million, six hundred fifty-six thousand, three hundred forty-five".