6148725764160 has 224 divisors, whose sum is σ = 22393426010112. Its totient is φ = 1400236554240.

The previous prime is 6148725764131. The next prime is 6148725764173. The reversal of 6148725764160 is 614675278416.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 6148725764160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132949 + ... + 3509291.

Almost surely, 2^{6148725764160} is an apocalyptic number.

6148725764160 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 6148725764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196713005056).

6148725764160 is an abundant number, since it is smaller than the sum of its proper divisors (16244700245952).

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

6148725764160 is a wasteful number, since it uses less digits than its factorization.

6148725764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376641 (or 3376631 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 6148725764160 in words is "six trillion, one hundred forty-eight billion, seven hundred twenty-five million, seven hundred sixty-four thousand, one hundred sixty".