461712715440288 has 192 divisors, whose sum is σ = 1309788362760192. Its totient is φ = 141569721216000.

The previous prime is 461712715440287. The next prime is 461712715440289. The reversal of 461712715440288 is 882044517217164.

It is an interprime number because it is at equal distance from previous prime (461712715440287) and next prime (461712715440289).

It is not an unprimeable number, because it can be changed into a prime (461712715440287) 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 31 ways as a sum of consecutive naturals, for example, 433413831 + ... + 434477817.

It is an arithmetic number, because the mean of its divisors is an integer number (6821814389376).

Almost surely, 2^{461712715440288} is an apocalyptic number.

461712715440288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461712715440288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654894181380096).

461712715440288 is an abundant number, since it is smaller than the sum of its proper divisors (848075647319904).

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

461712715440288 is a wasteful number, since it uses less digits than its factorization.

461712715440288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065227 (or 1065219 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 461712715440288 in words is "four hundred sixty-one trillion, seven hundred twelve billion, seven hundred fifteen million, four hundred forty thousand, two hundred eighty-eight".