456288401673828 has 96 divisors (see below), whose sum is σ = 1193738806391040. Its totient is φ = 150717544992000.

The previous prime is 456288401673827. The next prime is 456288401673851. The reversal of 456288401673828 is 828376104882654.

456288401673828 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 8 + 84 + 0 + 167 + 382 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (456288401673827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36040728 + ... + 47026703.

It is an arithmetic number, because the mean of its divisors is an integer number (12434779233240).

Almost surely, 2^{456288401673828} is an apocalyptic number.

It is an amenable number.

456288401673828 is an abundant number, since it is smaller than the sum of its proper divisors (737450404717212).

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

456288401673828 is a wasteful number, since it uses less digits than its factorization.

456288401673828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83067906 (or 83067898 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 456288401673828 in words is "four hundred fifty-six trillion, two hundred eighty-eight billion, four hundred one million, six hundred seventy-three thousand, eight hundred twenty-eight".