6307571974144 has 135 divisors (see below), whose sum is σ = 14679548532747. Its totient is φ = 2702280720384.

The previous prime is 6307571974141. The next prime is 6307571974153. The reversal of 6307571974144 is 4414791757036.

The square root of 6307571974144 is 2511488.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (6307571974141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2250291847 + ... + 2250294649.

Almost surely, 2^{6307571974144} is an apocalyptic number.

6307571974144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6307571974144 is the 2511488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6307571974144

6307571974144 is an abundant number, since it is smaller than the sum of its proper divisors (8371976558603).

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

6307571974144 is an frugal number, since it uses more digits than its factorization.

6307571974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 6307571974144 in words is "six trillion, three hundred seven billion, five hundred seventy-one million, nine hundred seventy-four thousand, one hundred forty-four".