456246801153 has 24 divisors (see below), whose sum is σ = 774236998080. Its totient is φ = 255242964960.

The previous prime is 456246801151. The next prime is 456246801167. The reversal of 456246801153 is 351108642654.

456246801153 is a `hidden beast` number, since 4 + 5 + 624 + 6 + 8 + 0 + 1 + 15 + 3 = 666.

It is not a de Polignac number, because 456246801153 - 2¹ = 456246801151 is a prime.

It is a super-2 number, since 2×456246801153² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456246801099 and 456246801108.

It is not an unprimeable number, because it can be changed into a prime (456246801151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177250773 + ... + 177253346.

It is an arithmetic number, because the mean of its divisors is an integer number (32259874920).

Almost surely, 2^456246801153 is an apocalyptic number.

It is an amenable number.

456246801153 is a deficient number, since it is larger than the sum of its proper divisors (317990196927).

456246801153 is a wasteful number, since it uses less digits than its factorization.

456246801153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354504149 (or 354504146 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 456246801153 in words is "four hundred fifty-six billion, two hundred forty-six million, eight hundred one thousand, one hundred fifty-three".