164404642634050 has 288 divisors, whose sum is σ = 386220048334848. Its totient is φ = 51605250439680.

The previous prime is 164404642634027. The next prime is 164404642634081. The reversal of 164404642634050 is 50436246404461.

It is a super-3 number, since 3×164404642634050³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 164404642633985 and 164404642634003.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21871040892 + ... + 21871048408.

It is an arithmetic number, because the mean of its divisors is an integer number (1341041834496).

Almost surely, 2^{164404642634050} is an apocalyptic number.

164404642634050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164404642634050 is an abundant number, since it is smaller than the sum of its proper divisors (221815405700798).

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

164404642634050 is a wasteful number, since it uses less digits than its factorization.

164404642634050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 49.

The spelling of 164404642634050 in words is "one hundred sixty-four trillion, four hundred four billion, six hundred forty-two million, six hundred thirty-four thousand, fifty".