4765341456 has 100 divisors (see below), whose sum is σ = 13844565900. Its totient is φ = 1582426368.

The previous prime is 4765341443. The next prime is 4765341487. The reversal of 4765341456 is 6541435674.

4765341456 is a `hidden beast` number, since 4 + 76 + 534 + 1 + 45 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1771063056 + 2994278400 = 42084^2 + 54720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 341790 + ... + 355458.

It is an arithmetic number, because the mean of its divisors is an integer number (138445659).

Almost surely, 2^4765341456 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 4765341456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922282950).

4765341456 is an abundant number, since it is smaller than the sum of its proper divisors (9079224444).

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

4765341456 is a wasteful number, since it uses less digits than its factorization.

4765341456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13958 (or 13943 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 4765341456 is about 69031.4526574662. The cubic root of 4765341456 is about 1682.7954988064.

The spelling of 4765341456 in words is "four billion, seven hundred sixty-five million, three hundred forty-one thousand, four hundred fifty-six".