164400113233104 has 240 divisors, whose sum is σ = 506421600068160. Its totient is φ = 45795685447680.

The previous prime is 164400113233079. The next prime is 164400113233129. The reversal of 164400113233104 is 401332311004461.

It is an interprime number because it is at equal distance from previous prime (164400113233079) and next prime (164400113233129).

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, 146306242 + ... + 147425630.

It is an arithmetic number, because the mean of its divisors is an integer number (2110090000284).

Almost surely, 2^{164400113233104} is an apocalyptic number.

164400113233104 is a gapful number since it is divisible by the number (14) 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 164400113233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253210800034080).

164400113233104 is an abundant number, since it is smaller than the sum of its proper divisors (342021486835056).

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

164400113233104 is a wasteful number, since it uses less digits than its factorization.

164400113233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120978 (or 1120965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 164400113233104 its reverse (401332311004461), we get a palindrome (565732424237565).

The spelling of 164400113233104 in words is "one hundred sixty-four trillion, four hundred billion, one hundred thirteen million, two hundred thirty-three thousand, one hundred four".