461947585749164 has 96 divisors (see below), whose sum is σ = 854567531790336. Its totient is φ = 218061842028800.

The previous prime is 461947585749121. The next prime is 461947585749179.

461947585749164 is nontrivially palindromic in base 10.

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, 7213728554 + ... + 7213792590.

It is an arithmetic number, because the mean of its divisors is an integer number (8901745122816).

Almost surely, 2^{461947585749164} is an apocalyptic number.

It is an amenable number.

461947585749164 is a deficient number, since it is larger than the sum of its proper divisors (392619946041172).

461947585749164 is a wasteful number, since it uses less digits than its factorization.

461947585749164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66575 (or 66573 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 80.

The spelling of 461947585749164 in words is "four hundred sixty-one trillion, nine hundred forty-seven billion, five hundred eighty-five million, seven hundred forty-nine thousand, one hundred sixty-four".