461466312437034 has 192 divisors, whose sum is σ = 1096670641397760. Its totient is φ = 139850668782720.

The previous prime is 461466312436979. The next prime is 461466312437071. The reversal of 461466312437034 is 430734213664164.

461466312437034 is a `hidden beast` number, since 4 + 6 + 146 + 6 + 3 + 124 + 370 + 3 + 4 = 666.

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, 181741417 + ... + 184263059.

It is an arithmetic number, because the mean of its divisors is an integer number (5711826257280).

Almost surely, 2^{461466312437034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461466312437034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548335320698880).

461466312437034 is an abundant number, since it is smaller than the sum of its proper divisors (635204328960726).

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

461466312437034 is a wasteful number, since it uses less digits than its factorization.

461466312437034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522017 (or 2522014 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 461466312437034 in words is "four hundred sixty-one trillion, four hundred sixty-six billion, three hundred twelve million, four hundred thirty-seven thousand, thirty-four".