55346333364355 has 24 divisors (see below), whose sum is σ = 73315585770336. Its totient is φ = 40079123863680.

The previous prime is 55346333364349. The next prime is 55346333364451.

55346333364355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55346333364355 - 2⁵ = 55346333364323 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55346333364355.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196171359 + ... + 196453288.

It is an arithmetic number, because the mean of its divisors is an integer number (3054816073764).

Almost surely, 2^{55346333364355} is an apocalyptic number.

55346333364355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55346333364355 is a deficient number, since it is larger than the sum of its proper divisors (17969252405981).

55346333364355 is a wasteful number, since it uses less digits than its factorization.

55346333364355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392624907 (or 392624896 counting only the distinct ones).

The product of its digits is 262440000, while the sum is 58.

It can be divided in two parts, 5534633 and 3364355, that added together give a palindrome (8898988).

The spelling of 55346333364355 in words is "fifty-five trillion, three hundred forty-six billion, three hundred thirty-three million, three hundred sixty-four thousand, three hundred fifty-five".