456746152248 has 96 divisors (see below), whose sum is σ = 1249511234400. Its totient is φ = 150713996544.

The previous prime is 456746152241. The next prime is 456746152279. The reversal of 456746152248 is 842251647654.

456746152248 is a `hidden beast` number, since 4 + 5 + 6 + 74 + 6 + 1 + 522 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456746152194 and 456746152203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456746152241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8740165 + ... + 8792267.

It is an arithmetic number, because the mean of its divisors is an integer number (13015742025).

Almost surely, 2^456746152248 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 456746152248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624755617200).

456746152248 is an abundant number, since it is smaller than the sum of its proper divisors (792765082152).

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

456746152248 is a wasteful number, since it uses less digits than its factorization.

456746152248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53341 (or 53334 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 456746152248 in words is "four hundred fifty-six billion, seven hundred forty-six million, one hundred fifty-two thousand, two hundred forty-eight".