1457743246848 has 800 divisors, whose sum is σ = 5169178080000. Its totient is φ = 400173613056.

The previous prime is 1457743246811. The next prime is 1457743246891. The reversal of 1457743246848 is 8486423477541.

It is a happy number.

1457743246848 is a `hidden beast` number, since 1 + 457 + 74 + 32 + 4 + 6 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2921328903 + ... + 2921329401.

It is an arithmetic number, because the mean of its divisors is an integer number (6461472600).

Almost surely, 2^{1457743246848} is an apocalyptic number.

1457743246848 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 1457743246848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584589040000).

1457743246848 is an abundant number, since it is smaller than the sum of its proper divisors (3711434833152).

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

1457743246848 is an equidigital number, since it uses as much as digits as its factorization.

1457743246848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 887 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 1457743246848 in words is "one trillion, four hundred fifty-seven billion, seven hundred forty-three million, two hundred forty-six thousand, eight hundred forty-eight".