46961733716964 has 144 divisors (see below), whose sum is σ = 130791383311680. Its totient is φ = 14088996000000.

The previous prime is 46961733716939. The next prime is 46961733717001.

46961733716964 is a `hidden beast` number, since 4 + 69 + 6 + 17 + 337 + 169 + 64 = 666.

46961733716964 is nontrivially palindromic in base 10.

46961733716964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46961733716964² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46961733716892 and 46961733716901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820249339 + ... + 820306589.

It is an arithmetic number, because the mean of its divisors is an integer number (908273495220).

Almost surely, 2^{46961733716964} is an apocalyptic number.

46961733716964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46961733716964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65395691655840).

46961733716964 is an abundant number, since it is smaller than the sum of its proper divisors (83829649594716).

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

46961733716964 is a wasteful number, since it uses less digits than its factorization.

46961733716964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77882 (or 77877 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 46961733716964 in words is "forty-six trillion, nine hundred sixty-one billion, seven hundred thirty-three million, seven hundred sixteen thousand, nine hundred sixty-four".