6101925448416 has 240 divisors, whose sum is σ = 18695227129488. Its totient is φ = 1742549760000.

The previous prime is 6101925448351. The next prime is 6101925448417. The reversal of 6101925448416 is 6148445291016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101925448417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 581075166 + ... + 581085666.

Almost surely, 2^{6101925448416} 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 6101925448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347613564744).

6101925448416 is an abundant number, since it is smaller than the sum of its proper divisors (12593301681072).

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

6101925448416 is a wasteful number, since it uses less digits than its factorization.

6101925448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13063 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 6101925448416 in words is "six trillion, one hundred one billion, nine hundred twenty-five million, four hundred forty-eight thousand, four hundred sixteen".