457374351168 has 1008 divisors, whose sum is σ = 1720125388800. Its totient is φ = 119689436160.

The previous prime is 457374351127. The next prime is 457374351169. The reversal of 457374351168 is 861153473754.

457374351168 is a `hidden beast` number, since 4 + 57 + 3 + 74 + 3 + 511 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457374351169) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448845763 + ... + 448846781.

It is an arithmetic number, because the mean of its divisors is an integer number (1706473600).

Almost surely, 2^457374351168 is an apocalyptic number.

457374351168 is a gapful number since it is divisible by the number (48) 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 457374351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860062694400).

457374351168 is an abundant number, since it is smaller than the sum of its proper divisors (1262751037632).

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

457374351168 is a wasteful number, since it uses less digits than its factorization.

457374351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1081 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 457374351168 in words is "four hundred fifty-seven billion, three hundred seventy-four million, three hundred fifty-one thousand, one hundred sixty-eight".