457628141705472 has 864 divisors, whose sum is σ = 1390678399219200. Its totient is φ = 150077657972736.

The previous prime is 457628141705467. The next prime is 457628141705489. The reversal of 457628141705472 is 274507141826754.

457628141705472 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 2 + 8 + 14 + 1 + 70 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×457628141705472² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739302328779 + ... + 739302329397.

Almost surely, 2^{457628141705472} 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 457628141705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695339199609600).

457628141705472 is an abundant number, since it is smaller than the sum of its proper divisors (933050257513728).

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

457628141705472 is a wasteful number, since it uses less digits than its factorization.

457628141705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 457628141705472 in words is "four hundred fifty-seven trillion, six hundred twenty-eight billion, one hundred forty-one million, seven hundred five thousand, four hundred seventy-two".