1458963048960 has 640 divisors, whose sum is σ = 5362628198400. Its totient is φ = 375585914880.

The previous prime is 1458963048947. The next prime is 1458963048979. The reversal of 1458963048960 is 698403698541.

1458963048960 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 96 + 3 + 0 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540615207 + ... + 1540616153.

It is an arithmetic number, because the mean of its divisors is an integer number (8379106560).

Almost surely, 2^{1458963048960} is an apocalyptic number.

1458963048960 is a gapful number since it is divisible by the number (10) 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 1458963048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681314099200).

1458963048960 is an abundant number, since it is smaller than the sum of its proper divisors (3903665149440).

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

1458963048960 is an equidigital number, since it uses as much as digits as its factorization.

1458963048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 1458963048960 in words is "one trillion, four hundred fifty-eight billion, nine hundred sixty-three million, forty-eight thousand, nine hundred sixty".