457122027664 has 45 divisors (see below), whose sum is σ = 925981733593. Its totient is φ = 218593829696.

The previous prime is 457122027617. The next prime is 457122027671. The reversal of 457122027664 is 466720221754.

The square root of 457122027664 is 676108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 314842187664 + 142279840000 = 561108^2 + 377200^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 62198262 + ... + 62205610.

Almost surely, 2^457122027664 is an apocalyptic number.

457122027664 is the 676108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457122027664

457122027664 is an abundant number, since it is smaller than the sum of its proper divisors (468859705929).

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

457122027664 is an frugal number, since it uses more digits than its factorization.

457122027664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14752 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 457122027664 in words is "four hundred fifty-seven billion, one hundred twenty-two million, twenty-seven thousand, six hundred sixty-four".