1457532864576 has 672 divisors, whose sum is σ = 4809454610688. Its totient is φ = 435316654080.

The previous prime is 1457532864517. The next prime is 1457532864647. The reversal of 1457532864576 is 6754682357541.

1457532864576 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 53 + 2 + 8 + 6 + 4 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1708713366 + ... + 1708714218.

It is an arithmetic number, because the mean of its divisors is an integer number (7156926504).

Almost surely, 2^{1457532864576} is an apocalyptic number.

1457532864576 is a gapful number since it is divisible by the number (16) 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 1457532864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404727305344).

1457532864576 is an abundant number, since it is smaller than the sum of its proper divisors (3351921746112).

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

1457532864576 is a wasteful number, since it uses less digits than its factorization.

1457532864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1179 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 63.

The spelling of 1457532864576 in words is "one trillion, four hundred fifty-seven billion, five hundred thirty-two million, eight hundred sixty-four thousand, five hundred seventy-six".