456553305140652 has 72 divisors (see below), whose sum is σ = 1197182118839616. Its totient is φ = 152136920917008.

The previous prime is 456553305140519. The next prime is 456553305140659. The reversal of 456553305140652 is 256041503355654.

456553305140652 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 533 + 0 + 5 + 1 + 40 + 65 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (456553305140659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70209358 + ... + 76435989.

It is an arithmetic number, because the mean of its divisors is an integer number (16627529428328).

Almost surely, 2^{456553305140652} is an apocalyptic number.

It is an amenable number.

456553305140652 is an abundant number, since it is smaller than the sum of its proper divisors (740628813698964).

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

456553305140652 is a wasteful number, since it uses less digits than its factorization.

456553305140652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146648569 (or 146648555 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 456553305140652 in words is "four hundred fifty-six trillion, five hundred fifty-three billion, three hundred five million, one hundred forty thousand, six hundred fifty-two".