553414646414355 has 144 divisors (see below), whose sum is σ = 1006136487084960. Its totient is φ = 259550597222400.

The previous prime is 553414646414347. The next prime is 553414646414363.

553414646414355 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (553414646414347) and next prime (553414646414363).

It is not a de Polignac number, because 553414646414355 - 2³ = 553414646414347 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3964530901 + ... + 3964670489.

It is an arithmetic number, because the mean of its divisors is an integer number (6987058938090).

Almost surely, 2^{553414646414355} is an apocalyptic number.

553414646414355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

553414646414355 is a deficient number, since it is larger than the sum of its proper divisors (452721840670605).

553414646414355 is a wasteful number, since it uses less digits than its factorization.

553414646414355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141954 (or 141912 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 60.

The spelling of 553414646414355 in words is "five hundred fifty-three trillion, four hundred fourteen billion, six hundred forty-six million, four hundred fourteen thousand, three hundred fifty-five".