1014725605248 has 768 divisors, whose sum is σ = 3328153920000. Its totient is φ = 306714304512.

The previous prime is 1014725605237. The next prime is 1014725605249. The reversal of 1014725605248 is 8425065274101.

1014725605248 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 72 + 56 + 0 + 524 + 8 = 666.

1014725605248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014725605249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1224035298 + ... + 1224036126.

It is an arithmetic number, because the mean of its divisors is an integer number (4333533750).

Almost surely, 2^{1014725605248} is an apocalyptic number.

1014725605248 is a gapful number since it is divisible by the number (18) 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 1014725605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664076960000).

1014725605248 is an abundant number, since it is smaller than the sum of its proper divisors (2313428314752).

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

1014725605248 is an equidigital number, since it uses as much as digits as its factorization.

1014725605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1014725605248 in words is "one trillion, fourteen billion, seven hundred twenty-five million, six hundred five thousand, two hundred forty-eight".