54351015345 has 72 divisors (see below), whose sum is σ = 109001692800. Its totient is φ = 24965012160.

The previous prime is 54351015337. The next prime is 54351015353.

54351015345 is a `hidden beast` number, since 54 + 3 + 510 + 1 + 53 + 45 = 666.

54351015345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54351015337) and next prime (54351015353).

It is not a de Polignac number, because 54351015345 - 2³ = 54351015337 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 159225 + ... + 366134.

It is an arithmetic number, because the mean of its divisors is an integer number (1513912400).

Almost surely, 2^54351015345 is an apocalyptic number.

54351015345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54351015345 is an abundant number, since it is smaller than the sum of its proper divisors (54650677455).

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

54351015345 is a wasteful number, since it uses less digits than its factorization.

54351015345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525411 (or 525397 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 543510 and 15345, that added together give a palindrome (558855).

The spelling of 54351015345 in words is "fifty-four billion, three hundred fifty-one million, fifteen thousand, three hundred forty-five".