164460123236352 has 1152 divisors, whose sum is σ = 512247468096000. Its totient is φ = 46723450798080.

The previous prime is 164460123236351. The next prime is 164460123236377. The reversal of 164460123236352 is 253632321064461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (164460123236351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104684991727 + ... + 104684993297.

It is an arithmetic number, because the mean of its divisors is an integer number (444659260500).

Almost surely, 2^{164460123236352} is an apocalyptic number.

164460123236352 is a gapful number since it is divisible by the number (12) 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 164460123236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256123734048000).

164460123236352 is an abundant number, since it is smaller than the sum of its proper divisors (347787344859648).

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

164460123236352 is a wasteful number, since it uses less digits than its factorization.

164460123236352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 164460123236352 in words is "one hundred sixty-four trillion, four hundred sixty billion, one hundred twenty-three million, two hundred thirty-six thousand, three hundred fifty-two".