5624373514008 has 128 divisors (see below), whose sum is σ = 15675344294400. Its totient is φ = 1671244130304.

The previous prime is 5624373513973. The next prime is 5624373514009. The reversal of 5624373514008 is 8004153734265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5624373514009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33459066 + ... + 33626742.

It is an arithmetic number, because the mean of its divisors is an integer number (122463627300).

Almost surely, 2^{5624373514008} 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 5624373514008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837672147200).

5624373514008 is an abundant number, since it is smaller than the sum of its proper divisors (10050970780392).

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

5624373514008 is a wasteful number, since it uses less digits than its factorization.

5624373514008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172049 (or 172045 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 5624373514008 in words is "five trillion, six hundred twenty-four billion, three hundred seventy-three million, five hundred fourteen thousand, eight".