6131385648 has 120 divisors (see below), whose sum is σ = 18345888288. Its totient is φ = 1904818176.

The previous prime is 6131385647. The next prime is 6131385649. The reversal of 6131385648 is 8465831316.

It is an interprime number because it is at equal distance from previous prime (6131385647) and next prime (6131385649).

It is not an unprimeable number, because it can be changed into a prime (6131385641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239986 + ... + 264302.

Almost surely, 2^6131385648 is an apocalyptic number.

6131385648 is a gapful number since it is divisible by the number (68) 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 6131385648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172944144).

6131385648 is an abundant number, since it is smaller than the sum of its proper divisors (12214502640).

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

6131385648 is a wasteful number, since it uses less digits than its factorization.

6131385648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24451 (or 24442 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 6131385648 is about 78303.1649935046. The cubic root of 6131385648 is about 1830.2884719480.

The spelling of 6131385648 in words is "six billion, one hundred thirty-one million, three hundred eighty-five thousand, six hundred forty-eight".