46333261632 has 336 divisors, whose sum is σ = 147514372992. Its totient is φ = 12788858880.

The previous prime is 46333261553. The next prime is 46333261669. The reversal of 46333261632 is 23616233364.

46333261632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×46333261632² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43586733 + ... + 43587795.

It is an arithmetic number, because the mean of its divisors is an integer number (439030872).

Almost surely, 2^46333261632 is an apocalyptic number.

46333261632 is a gapful number since it is divisible by the number (42) 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 46333261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73757186496).

46333261632 is an abundant number, since it is smaller than the sum of its proper divisors (101181111360).

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

46333261632 is a wasteful number, since it uses less digits than its factorization.

46333261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

The product of its digits is 279936, while the sum is 39.

Adding to 46333261632 its reverse (23616233364), we get a palindrome (69949494996).

The spelling of 46333261632 in words is "forty-six billion, three hundred thirty-three million, two hundred sixty-one thousand, six hundred thirty-two".