456775231140 has 144 divisors (see below), whose sum is σ = 1390926805632. Its totient is φ = 121335126528.

The previous prime is 456775231127. The next prime is 456775231153. The reversal of 456775231140 is 41132577654.

456775231140 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 7 + 523 + 114 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (456775231127) and next prime (456775231153).

It is a super-2 number, since 2×456775231140² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51860617 + ... + 51869423.

It is an arithmetic number, because the mean of its divisors is an integer number (9659213928).

Almost surely, 2^456775231140 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 456775231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695463402816).

456775231140 is an abundant number, since it is smaller than the sum of its proper divisors (934151574492).

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

456775231140 is a wasteful number, since it uses less digits than its factorization.

456775231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9901 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 456775231140 in words is "four hundred fifty-six billion, seven hundred seventy-five million, two hundred thirty-one thousand, one hundred forty".