6171740725248 has 672 divisors, whose sum is σ = 21331240060320. Its totient is φ = 1758359715840.

The previous prime is 6171740725219. The next prime is 6171740725261. The reversal of 6171740725248 is 8425270471716.

6171740725248 is a `hidden beast` number, since 6 + 1 + 7 + 1 + 7 + 40 + 72 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 6171740725194 and 6171740725203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646605790 + ... + 5646606882.

Almost surely, 2^{6171740725248} 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 6171740725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665620030160).

6171740725248 is an abundant number, since it is smaller than the sum of its proper divisors (15159499335072).

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

6171740725248 is a wasteful number, since it uses less digits than its factorization.

6171740725248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 6171740725248 in words is "six trillion, one hundred seventy-one billion, seven hundred forty million, seven hundred twenty-five thousand, two hundred forty-eight".