5502351456 has 288 divisors, whose sum is σ = 19020718080. Its totient is φ = 1474716672.

The previous prime is 5502351451. The next prime is 5502351457. The reversal of 5502351456 is 6541532055.

5502351456 is a `hidden beast` number, since 5 + 502 + 3 + 5 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5502351456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5502351451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2456385 + ... + 2458623.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 2^5502351456 is an apocalyptic number.

5502351456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5502351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

5502351456 is an abundant number, since it is smaller than the sum of its proper divisors (13518366624).

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

5502351456 is a wasteful number, since it uses less digits than its factorization.

5502351456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

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

The square root of 5502351456 is about 74177.8366899440. The cubic root of 5502351456 is about 1765.4256911780.

The spelling of 5502351456 in words is "five billion, five hundred two million, three hundred fifty-one thousand, four hundred fifty-six".