461265641512500 has 288 divisors, whose sum is σ = 1467771616604160. Its totient is φ = 111806571600000.

The previous prime is 461265641512441. The next prime is 461265641512537. The reversal of 461265641512500 is 5215146562164.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 461265641512500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3151014309 + ... + 3151160691.

It is an arithmetic number, because the mean of its divisors is an integer number (5096429224320).

Almost surely, 2^{461265641512500} 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 461265641512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733885808302080).

461265641512500 is an abundant number, since it is smaller than the sum of its proper divisors (1006505975091660).

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

461265641512500 is a wasteful number, since it uses less digits than its factorization.

461265641512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154065 (or 154043 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 461265641512500 in words is "four hundred sixty-one trillion, two hundred sixty-five billion, six hundred forty-one million, five hundred twelve thousand, five hundred".