461512375650 has 480 divisors, whose sum is σ = 1385520673680. Its totient is φ = 113654016000.

The previous prime is 461512375633. The next prime is 461512375657. The reversal of 461512375650 is 56573215164.

461512375650 is a `hidden beast` number, since 4 + 6 + 1 + 51 + 2 + 37 + 565 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 138582719289 + 322929656361 = 372267^2 + 568269^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 461512375596 and 461512375605.

It is not an unprimeable number, because it can be changed into a prime (461512375657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 265083780 + ... + 265085520.

Almost surely, 2^461512375650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461512375650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692760336840).

461512375650 is an abundant number, since it is smaller than the sum of its proper divisors (924008298030).

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

461512375650 is a wasteful number, since it uses less digits than its factorization.

461512375650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 461512375650 in words is "four hundred sixty-one billion, five hundred twelve million, three hundred seventy-five thousand, six hundred fifty".