46633117561772 has 96 divisors (see below), whose sum is σ = 95829029990400. Its totient is φ = 19441974689280.

The previous prime is 46633117561729. The next prime is 46633117561781. The reversal of 46633117561772 is 27716571133664.

46633117561772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 143593697 + ... + 143918087.

It is an arithmetic number, because the mean of its divisors is an integer number (998219062400).

Almost surely, 2^{46633117561772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46633117561772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47914514995200).

46633117561772 is an abundant number, since it is smaller than the sum of its proper divisors (49195912428628).

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

46633117561772 is a wasteful number, since it uses less digits than its factorization.

46633117561772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325111 (or 325109 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 59.

The spelling of 46633117561772 in words is "forty-six trillion, six hundred thirty-three billion, one hundred seventeen million, five hundred sixty-one thousand, seven hundred seventy-two".