1014245372448 has 1080 divisors, whose sum is σ = 3997007595504. Its totient is φ = 249450969600.

The previous prime is 1014245372443. The next prime is 1014245372479. The reversal of 1014245372448 is 8442735424101.

1014245372448 is a `hidden beast` number, since 10 + 1 + 42 + 4 + 537 + 24 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (1014245372443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 504347763 + ... + 504349773.

Almost surely, 2^{1014245372448} is an apocalyptic number.

1014245372448 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 1014245372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998503797752).

1014245372448 is an abundant number, since it is smaller than the sum of its proper divisors (2982762223056).

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

1014245372448 is a wasteful number, since it uses less digits than its factorization.

1014245372448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1014245372448 in words is "one trillion, fourteen billion, two hundred forty-five million, three hundred seventy-two thousand, four hundred forty-eight".