457938166896 has 400 divisors, whose sum is σ = 1613734214400. Its totient is φ = 122455950336.

The previous prime is 457938166831. The next prime is 457938166919. The reversal of 457938166896 is 698661839754.

457938166896 is a `hidden beast` number, since 4 + 579 + 38 + 16 + 6 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14290540 + ... + 14322548.

It is an arithmetic number, because the mean of its divisors is an integer number (4034335536).

Almost surely, 2^457938166896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457938166896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806867107200).

457938166896 is an abundant number, since it is smaller than the sum of its proper divisors (1155796047504).

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

457938166896 is a wasteful number, since it uses less digits than its factorization.

457938166896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32138 (or 32123 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 457938166896 in words is "four hundred fifty-seven billion, nine hundred thirty-eight million, one hundred sixty-six thousand, eight hundred ninety-six".