553414314342420 has 144 divisors (see below), whose sum is σ = 1694027501646480. Its totient is φ = 146229549355008.

The previous prime is 553414314342403. The next prime is 553414314342493. The reversal of 553414314342420 is 24243413414355.

It is a happy number.

553414314342420 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 1 + 43 + 143 + 42 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63128967999876 + 490285346342544 = 7945374^2 + 22142388^2 .

It is a super-2 number, since 2×553414314342420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 67667686 + ... + 75403874.

It is an arithmetic number, because the mean of its divisors is an integer number (11764079872545).

Almost surely, 2^{553414314342420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553414314342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847013750823240).

553414314342420 is an abundant number, since it is smaller than the sum of its proper divisors (1140613187304060).

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

553414314342420 is a wasteful number, since it uses less digits than its factorization.

553414314342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739834 (or 7739829 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 553414314342420 its reverse (24243413414355), we get a palindrome (577657727756775).

The spelling of 553414314342420 in words is "five hundred fifty-three trillion, four hundred fourteen billion, three hundred fourteen million, three hundred forty-two thousand, four hundred twenty".