1457311320576 has 720 divisors, whose sum is σ = 4656067992576. Its totient is φ = 437211758592.

The previous prime is 1457311320571. The next prime is 1457311320671. The reversal of 1457311320576 is 6750231137541.

1457311320576 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 311 + 320 + 5 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1457311320571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11474892225 + ... + 11474892351.

Almost surely, 2^{1457311320576} is an apocalyptic number.

1457311320576 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 1457311320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328033996288).

1457311320576 is an abundant number, since it is smaller than the sum of its proper divisors (3198756672000).

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

1457311320576 is a wasteful number, since it uses less digits than its factorization.

1457311320576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1457311320576 in words is "one trillion, four hundred fifty-seven billion, three hundred eleven million, three hundred twenty thousand, five hundred seventy-six".