461777249934007 has 16 divisors (see below), whose sum is σ = 529322679429120. Its totient is φ = 394626579876288.

The previous prime is 461777249933983. The next prime is 461777249934023. The reversal of 461777249934007 is 700439942777164.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461777249934007 is a prime.

It is a super-2 number, since 2×461777249934007² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461777249932007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6203343 + ... + 31016704.

It is an arithmetic number, because the mean of its divisors is an integer number (33082667464320).

Almost surely, 2^{461777249934007} is an apocalyptic number.

461777249934007 is a deficient number, since it is larger than the sum of its proper divisors (67545429495113).

461777249934007 is a wasteful number, since it uses less digits than its factorization.

461777249934007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37225350.

The product of its (nonzero) digits is 448084224, while the sum is 70.

The spelling of 461777249934007 in words is "four hundred sixty-one trillion, seven hundred seventy-seven billion, two hundred forty-nine million, nine hundred thirty-four thousand, seven".