54348033084345 has 512 divisors, whose sum is σ = 133104058859520. Its totient is φ = 20307511296000.

The previous prime is 54348033084299. The next prime is 54348033084361.

54348033084345 is a `hidden beast` number, since 5 + 43 + 480 + 3 + 3 + 0 + 84 + 3 + 45 = 666.

54348033084345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54348033084345 - 2¹³ = 54348033076153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54348033084291 and 54348033084300.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3584718565 + ... + 3584733725.

It is an arithmetic number, because the mean of its divisors is an integer number (259968864960).

Almost surely, 2^{54348033084345} is an apocalyptic number.

54348033084345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54348033084345 is an abundant number, since it is smaller than the sum of its proper divisors (78756025775175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54348033084345 is a wasteful number, since it uses less digits than its factorization.

54348033084345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15894 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 54348033084345 in words is "fifty-four trillion, three hundred forty-eight billion, thirty-three million, eighty-four thousand, three hundred forty-five".