46335833853364 has 48 divisors (see below), whose sum is σ = 94000941840960. Its totient is φ = 19751254018560.

The previous prime is 46335833853349. The next prime is 46335833853409.

46335833853364 is nontrivially palindromic in base 10.

46335833853364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46335833853296 and 46335833853305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 111609234 + ... + 112023625.

It is an arithmetic number, because the mean of its divisors is an integer number (1958352955020).

Almost surely, 2^{46335833853364} is an apocalyptic number.

46335833853364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46335833853364 is an abundant number, since it is smaller than the sum of its proper divisors (47665107987596).

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

46335833853364 is a wasteful number, since it uses less digits than its factorization.

46335833853364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223633168 (or 223633166 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 64.

The spelling of 46335833853364 in words is "forty-six trillion, three hundred thirty-five billion, eight hundred thirty-three million, eight hundred fifty-three thousand, three hundred sixty-four".