461600115011742 has 32 divisors (see below), whose sum is σ = 1065963152201472. Its totient is φ = 130526100267264.

The previous prime is 461600115011719. The next prime is 461600115011743. The reversal of 461600115011742 is 247110511006164.

It is a self number, because there is not a number n which added to its sum of digits gives 461600115011742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461600115011743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56651949168 + ... + 56651957315.

It is an arithmetic number, because the mean of its divisors is an integer number (33311348506296).

Almost surely, 2^{461600115011742} is an apocalyptic number.

461600115011742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

461600115011742 is an abundant number, since it is smaller than the sum of its proper divisors (604363037189730).

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

461600115011742 is a wasteful number, since it uses less digits than its factorization.

461600115011742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113303906592.

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 461600115011742 in words is "four hundred sixty-one trillion, six hundred billion, one hundred fifteen million, eleven thousand, seven hundred forty-two".