461777249934008 has 128 divisors (see below), whose sum is σ = 900465381204480. Its totient is φ = 221832172800000.

The previous prime is 461777249933983. The next prime is 461777249934023. The reversal of 461777249934008 is 800439942777164.

It is a Cunningham number, because it is equal to 21489003²-1.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125108979443 + ... + 125108983133.

It is an arithmetic number, because the mean of its divisors is an integer number (7034885790660).

Almost surely, 2^{461777249934008} is an apocalyptic number.

461777249934008 is the 12406682-nd octagonal number.

It is an amenable number.

461777249934008 is a deficient number, since it is larger than the sum of its proper divisors (438688131270472).

461777249934008 is a wasteful number, since it uses less digits than its factorization.

461777249934008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 71.

The spelling of 461777249934008 in words is "four hundred sixty-one trillion, seven hundred seventy-seven billion, two hundred forty-nine million, nine hundred thirty-four thousand, eight".