54353255235345 has 128 divisors (see below), whose sum is σ = 106766843904000. Its totient is φ = 26014601882880.

The previous prime is 54353255235343. The next prime is 54353255235427.

It is a happy number.

54353255235345 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 3 + 25 + 523 + 53 + 45 = 666.

54353255235345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54353255235345 - 2¹ = 54353255235343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54353255235291 and 54353255235300.

It is not an unprimeable number, because it can be changed into a prime (54353255235343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 665017872 + ... + 665099598.

It is an arithmetic number, because the mean of its divisors is an integer number (834115968000).

Almost surely, 2^{54353255235345} is an apocalyptic number.

54353255235345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54353255235345 is a deficient number, since it is larger than the sum of its proper divisors (52413588668655).

54353255235345 is a wasteful number, since it uses less digits than its factorization.

54353255235345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87500 (or 87494 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 54353255235345 in words is "fifty-four trillion, three hundred fifty-three billion, two hundred fifty-five million, two hundred thirty-five thousand, three hundred forty-five".