54387678345 has 96 divisors (see below), whose sum is σ = 117723922176. Its totient is φ = 20863941120.

The previous prime is 54387678329. The next prime is 54387678377.

It is a happy number.

54387678345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54387678345 - 2⁴ = 54387678329 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519 + ... + 329811.

It is an arithmetic number, because the mean of its divisors is an integer number (1226290856).

Almost surely, 2^54387678345 is an apocalyptic number.

54387678345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54387678345 is an abundant number, since it is smaller than the sum of its proper divisors (63336243831).

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

54387678345 is a wasteful number, since it uses less digits than its factorization.

54387678345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329343 (or 329332 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 54387678345 in words is "fifty-four billion, three hundred eighty-seven million, six hundred seventy-eight thousand, three hundred forty-five".