457956353064 has 32 divisors (see below), whose sum is σ = 1308446723520. Its totient is φ = 130844672256.

The previous prime is 457956352999. The next prime is 457956353077. The reversal of 457956353064 is 460353659754.

It is a super-3 number, since 3×457956353064³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457956352995 and 457956353013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362965169 + ... + 1362965504.

It is an arithmetic number, because the mean of its divisors is an integer number (40888960110).

Almost surely, 2^457956353064 is an apocalyptic number.

It is an amenable number.

457956353064 is an abundant number, since it is smaller than the sum of its proper divisors (850490370456).

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

457956353064 is a wasteful number, since it uses less digits than its factorization.

457956353064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725930689 (or 2725930685 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 57.

The spelling of 457956353064 in words is "four hundred fifty-seven billion, nine hundred fifty-six million, three hundred fifty-three thousand, sixty-four".