164041432655100 has 576 divisors, whose sum is σ = 650266196966400. Its totient is φ = 31464487756800.

The previous prime is 164041432655099. The next prime is 164041432655143. The reversal of 164041432655100 is 1556234140461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9140634 + ... + 20288766.

Almost surely, 2^{164041432655100} is an apocalyptic number.

164041432655100 is a gapful number since it is divisible by the number (10) 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 164041432655100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325133098483200).

164041432655100 is an abundant number, since it is smaller than the sum of its proper divisors (486224764311300).

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

164041432655100 is a wasteful number, since it uses less digits than its factorization.

164041432655100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148195 (or 11148174 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 164041432655100 its reverse (1556234140461), we get a palindrome (165597666795561).

The spelling of 164041432655100 in words is "one hundred sixty-four trillion, forty-one billion, four hundred thirty-two million, six hundred fifty-five thousand, one hundred".