457618900319 has 12 divisors (see below), whose sum is σ = 546719548824. Its totient is φ = 381643560144.

The previous prime is 457618900303. The next prime is 457618900351. The reversal of 457618900319 is 913009816754.

It is not a de Polignac number, because 457618900319 - 2⁴ = 457618900303 is a prime.

It is a super-2 number, since 2×457618900319² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457618900369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126203069 + ... + 126206694.

It is an arithmetic number, because the mean of its divisors is an integer number (45559962402).

Almost surely, 2^457618900319 is an apocalyptic number.

457618900319 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

457618900319 is a deficient number, since it is larger than the sum of its proper divisors (89100648505).

457618900319 is a wasteful number, since it uses less digits than its factorization.

457618900319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252409814 (or 252409807 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 457618900319 in words is "four hundred fifty-seven billion, six hundred eighteen million, nine hundred thousand, three hundred nineteen".