456751949880 has 128 divisors (see below), whose sum is σ = 1375511258880. Its totient is φ = 121334062080.

The previous prime is 456751949851. The next prime is 456751949881. The reversal of 456751949880 is 88949157654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456751949881) 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, 49422060 + ... + 49431300.

It is an arithmetic number, because the mean of its divisors is an integer number (10746181710).

Almost surely, 2^456751949880 is an apocalyptic number.

456751949880 is a gapful number since it is divisible by the number (40) 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 456751949880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687755629440).

456751949880 is an abundant number, since it is smaller than the sum of its proper divisors (918759309000).

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

456751949880 is a wasteful number, since it uses less digits than its factorization.

456751949880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10785 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 456751949880 in words is "four hundred fifty-six billion, seven hundred fifty-one million, nine hundred forty-nine thousand, eight hundred eighty".