6148528261440 has 448 divisors, whose sum is σ = 20052120464640. Its totient is φ = 1595842560000.

The previous prime is 6148528261439. The next prime is 6148528261451. The reversal of 6148528261440 is 441628258416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1384489620 + ... + 1384494060.

Almost surely, 2^{6148528261440} is an apocalyptic number.

6148528261440 is a gapful number since it is divisible by the number (60) 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 6148528261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026060232320).

6148528261440 is an abundant number, since it is smaller than the sum of its proper divisors (13903592203200).

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

6148528261440 is a wasteful number, since it uses less digits than its factorization.

6148528261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 6148528261440 in words is "six trillion, one hundred forty-eight billion, five hundred twenty-eight million, two hundred sixty-one thousand, four hundred forty".