6148059264 has 96 divisors (see below), whose sum is σ = 17941098240. Its totient is φ = 2020462080.

The previous prime is 6148059263. The next prime is 6148059271. The reversal of 6148059264 is 4629508416.

6148059264 is a `hidden beast` number, since 61 + 480 + 59 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6148059263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44209 + ... + 119375.

It is an arithmetic number, because the mean of its divisors is an integer number (186886440).

Almost surely, 2^6148059264 is an apocalyptic number.

6148059264 is a gapful number since it is divisible by the number (64) 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 6148059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970549120).

6148059264 is an abundant number, since it is smaller than the sum of its proper divisors (11793038976).

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

6148059264 is a wasteful number, since it uses less digits than its factorization.

6148059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75258 (or 75243 counting only the distinct ones).

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

The square root of 6148059264 is about 78409.5610496577. The cubic root of 6148059264 is about 1831.9460584284.

The spelling of 6148059264 in words is "six billion, one hundred forty-eight million, fifty-nine thousand, two hundred sixty-four".