23633400433632 has 48 divisors (see below), whose sum is σ = 67677464881152. Its totient is φ = 7161636494720.

The previous prime is 23633400433627. The next prime is 23633400433651.

23633400433632 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23633400433632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11190055968 + ... + 11190058079.

It is an arithmetic number, because the mean of its divisors is an integer number (1409947185024).

Almost surely, 2^{23633400433632} is an apocalyptic number.

23633400433632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23633400433632 is an abundant number, since it is smaller than the sum of its proper divisors (44044064447520).

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

23633400433632 is a wasteful number, since it uses less digits than its factorization.

23633400433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22380114071 (or 22380114063 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 42.

The spelling of 23633400433632 in words is "twenty-three trillion, six hundred thirty-three billion, four hundred million, four hundred thirty-three thousand, six hundred thirty-two".