6114987648 has 384 divisors, whose sum is σ = 22682352000. Its totient is φ = 1587548160.

The previous prime is 6114987623. The next prime is 6114987649. The reversal of 6114987648 is 8467894116.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6114987594 and 6114987603.

It is not an unprimeable number, because it can be changed into a prime (6114987649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926188 + ... + 2928276.

It is an arithmetic number, because the mean of its divisors is an integer number (59068625).

Almost surely, 2^6114987648 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 6114987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11341176000).

6114987648 is an abundant number, since it is smaller than the sum of its proper divisors (16567364352).

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

6114987648 is a wasteful number, since it uses less digits than its factorization.

6114987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2112 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 6114987648 is about 78198.3864795176. The cubic root of 6114987648 is about 1828.6553519146.

The spelling of 6114987648 in words is "six billion, one hundred fourteen million, nine hundred eighty-seven thousand, six hundred forty-eight".