164999415304656 has 400 divisors, whose sum is σ = 490155984856384. Its totient is φ = 53568320053248.

The previous prime is 164999415304639. The next prime is 164999415304673. The reversal of 164999415304656 is 656403514999461.

164999415304656 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 9 + 9 + 4 + 153 + 0 + 465 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (164999415304639) and next prime (164999415304673).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9206006511 + ... + 9206024433.

Almost surely, 2^{164999415304656} is an apocalyptic number.

164999415304656 is a gapful number since it is divisible by the number (16) 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 164999415304656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245077992428192).

164999415304656 is an abundant number, since it is smaller than the sum of its proper divisors (325156569551728).

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

164999415304656 is a wasteful number, since it uses less digits than its factorization.

164999415304656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19200 (or 19185 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 164999415304656 in words is "one hundred sixty-four trillion, nine hundred ninety-nine billion, four hundred fifteen million, three hundred four thousand, six hundred fifty-six".