164008148226048 has 2184 divisors, whose sum is σ = 611291219779008. Its totient is φ = 42921346203648.

The previous prime is 164008148226037. The next prime is 164008148226059. The reversal of 164008148226048 is 840622841800461.

164008148226048 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 8 + 1 + 4 + 8 + 22 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (164008148226037) and next prime (164008148226059).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164008148225985 and 164008148226003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1976001785815 + ... + 1976001785897.

Almost surely, 2^{164008148226048} is an apocalyptic number.

164008148226048 is a gapful number since it is divisible by the number (18) 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 164008148226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305645609889504).

164008148226048 is an abundant number, since it is smaller than the sum of its proper divisors (447283071552960).

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

164008148226048 is an frugal number, since it uses more digits than its factorization.

164008148226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 164008148226048 in words is "one hundred sixty-four trillion, eight billion, one hundred forty-eight million, two hundred twenty-six thousand, forty-eight".