4251085148256 has 192 divisors, whose sum is σ = 11809695614976. Its totient is φ = 1336774348800.

The previous prime is 4251085148239. The next prime is 4251085148257. The reversal of 4251085148256 is 6528415801524.

It is a junction number, because it is equal to n+sod(n) for n = 4251085148199 and 4251085148208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251085148257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155800791 + ... + 155828073.

It is an arithmetic number, because the mean of its divisors is an integer number (61508831328).

Almost surely, 2^{4251085148256} 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 4251085148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904847807488).

4251085148256 is an abundant number, since it is smaller than the sum of its proper divisors (7558610466720).

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

4251085148256 is a wasteful number, since it uses less digits than its factorization.

4251085148256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28645 (or 28637 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 51.

The spelling of 4251085148256 in words is "four trillion, two hundred fifty-one billion, eighty-five million, one hundred forty-eight thousand, two hundred fifty-six".