456652542544 has 80 divisors (see below), whose sum is σ = 971184090240. Its totient is φ = 206283456000.

The previous prime is 456652542509. The next prime is 456652542557. The reversal of 456652542544 is 445245256654.

It is a super-2 number, since 2×456652542544² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456652542491 and 456652542500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58324422 + ... + 58332250.

It is an arithmetic number, because the mean of its divisors is an integer number (12139801128).

Almost surely, 2^456652542544 is an apocalyptic number.

456652542544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456652542544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485592045120).

456652542544 is an abundant number, since it is smaller than the sum of its proper divisors (514531547696).

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

456652542544 is a wasteful number, since it uses less digits than its factorization.

456652542544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9854 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 52.

The spelling of 456652542544 in words is "four hundred fifty-six billion, six hundred fifty-two million, five hundred forty-two thousand, five hundred forty-four".