164646936129984 has 448 divisors, whose sum is σ = 560866557394944. Its totient is φ = 41369264640000.

The previous prime is 164646936129971. The next prime is 164646936130081. The reversal of 164646936129984 is 489921639646461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×164646936129984² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 1159896454 + ... + 1160038394.

Almost surely, 2^{164646936129984} is an apocalyptic number.

164646936129984 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 164646936129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280433278697472).

164646936129984 is an abundant number, since it is smaller than the sum of its proper divisors (396219621264960).

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

164646936129984 is a wasteful number, since it uses less digits than its factorization.

164646936129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144536 (or 144526 counting only the distinct ones).

The product of its digits is 2902376448, while the sum is 78.

The spelling of 164646936129984 in words is "one hundred sixty-four trillion, six hundred forty-six billion, nine hundred thirty-six million, one hundred twenty-nine thousand, nine hundred eighty-four".