5814657242000 has 80 divisors (see below), whose sum is σ = 14325121495152. Its totient is φ = 2281978649600.

The previous prime is 5814657241931. The next prime is 5814657242027. The reversal of 5814657242000 is 2427564185.

It can be written as a sum of positive squares in 8 ways, for example, as 319121048464 + 5495536193536 = 564908^2 + 2344256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27321629 + ... + 27533628.

Almost surely, 2^{5814657242000} is an apocalyptic number.

5814657242000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5814657242000 is an abundant number, since it is smaller than the sum of its proper divisors (8510464253152).

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

5814657242000 is a wasteful number, since it uses less digits than its factorization.

5814657242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54855333 (or 54855317 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 5814657242000 in words is "five trillion, eight hundred fourteen billion, six hundred fifty-seven million, two hundred forty-two thousand".