461100753936 has 135 divisors (see below), whose sum is σ = 1310517227773. Its totient is φ = 151345326720.

The previous prime is 461100753907. The next prime is 461100753959. The reversal of 461100753936 is 639357001164.

It is a happy number.

The square root of 461100753936 is 679044.

It is a perfect power (a square), and thus also a powerful number.

461100753936 is a `hidden beast` number, since 4 + 6 + 1 + 100 + 7 + 539 + 3 + 6 = 666.

461100753936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 223596579600 + 237504174336 = 472860^2 + 487344^2 .

It is a super-2 number, since 2×461100753936² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461100753891 and 461100753900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 578545090 + ... + 578545886.

Almost surely, 2^461100753936 is an apocalyptic number.

461100753936 is the 679044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461100753936

461100753936 is an abundant number, since it is smaller than the sum of its proper divisors (849416473837).

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

461100753936 is an frugal number, since it uses more digits than its factorization.

461100753936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 461100753936 in words is "four hundred sixty-one billion, one hundred million, seven hundred fifty-three thousand, nine hundred thirty-six".