164415464950 has 48 divisors (see below), whose sum is σ = 336853011456. Its totient is φ = 59206960800.

The previous prime is 164415464893. The next prime is 164415464959. The reversal of 164415464950 is 59464514461.

It is a super-3 number, since 3×164415464950³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164415464894 and 164415464903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164415464959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394502 + ... + 1507801.

It is an arithmetic number, because the mean of its divisors is an integer number (7017771072).

Almost surely, 2^164415464950 is an apocalyptic number.

164415464950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164415464950 is an abundant number, since it is smaller than the sum of its proper divisors (172437546506).

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

164415464950 is a wasteful number, since it uses less digits than its factorization.

164415464950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902429 (or 2902424 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 164415464950 in words is "one hundred sixty-four billion, four hundred fifteen million, four hundred sixty-four thousand, nine hundred fifty".