54351333315345 has 32 divisors (see below), whose sum is σ = 96886245242880. Its totient is φ = 25791477314240.

The previous prime is 54351333315343. The next prime is 54351333315397.

It is a happy number.

54351333315345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54351333315345 - 2¹ = 54351333315343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54351333315294 and 54351333315303.

It is not an unprimeable number, because it can be changed into a prime (54351333315343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3504269055 + ... + 3504284564.

It is an arithmetic number, because the mean of its divisors is an integer number (3027695163840).

Almost surely, 2^{54351333315345} is an apocalyptic number.

54351333315345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54351333315345 is a deficient number, since it is larger than the sum of its proper divisors (42534911927535).

54351333315345 is a wasteful number, since it uses less digits than its factorization.

54351333315345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008553685.

The product of its digits is 7290000, while the sum is 48.

The spelling of 54351333315345 in words is "fifty-four trillion, three hundred fifty-one billion, three hundred thirty-three million, three hundred fifteen thousand, three hundred forty-five".