5642008674144 has 48 divisors (see below), whose sum is σ = 14876686605312. Its totient is φ = 1872236055168.

The previous prime is 5642008674143. The next prime is 5642008674157. The reversal of 5642008674144 is 4414768002465.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5642008674144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642008674143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131751964 + ... + 131794779.

It is an arithmetic number, because the mean of its divisors is an integer number (309930970944).

Almost surely, 2^{5642008674144} is an apocalyptic number.

It is an amenable number.

5642008674144 is an abundant number, since it is smaller than the sum of its proper divisors (9234677931168).

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

5642008674144 is a wasteful number, since it uses less digits than its factorization.

5642008674144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263546979 (or 263546971 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 5642008674144 in words is "five trillion, six hundred forty-two billion, eight million, six hundred seventy-four thousand, one hundred forty-four".