461730201126504 has 128 divisors (see below), whose sum is σ = 1198959462113280. Its totient is φ = 148020652972800.

The previous prime is 461730201126497. The next prime is 461730201126533. The reversal of 461730201126504 is 405621102037164.

It is a super-2 number, since 2×461730201126504² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753582749 + ... + 1753846035.

It is an arithmetic number, because the mean of its divisors is an integer number (9366870797760).

Almost surely, 2^{461730201126504} 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 461730201126504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599479731056640).

461730201126504 is an abundant number, since it is smaller than the sum of its proper divisors (737229260986776).

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

461730201126504 is a wasteful number, since it uses less digits than its factorization.

461730201126504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277951 (or 277947 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 461730201126504 in words is "four hundred sixty-one trillion, seven hundred thirty billion, two hundred one million, one hundred twenty-six thousand, five hundred four".