164056559744 has 384 divisors, whose sum is σ = 439296048000. Its totient is φ = 60489676800.

The previous prime is 164056559717. The next prime is 164056559753. The reversal of 164056559744 is 447955650461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 164056559744.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174342314 + ... + 174343254.

It is an arithmetic number, because the mean of its divisors is an integer number (1144000125).

Almost surely, 2^164056559744 is an apocalyptic number.

164056559744 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 164056559744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219648024000).

164056559744 is an abundant number, since it is smaller than the sum of its proper divisors (275239488256).

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

164056559744 is an equidigital number, since it uses as much as digits as its factorization.

164056559744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 164056559744 in words is "one hundred sixty-four billion, fifty-six million, five hundred fifty-nine thousand, seven hundred forty-four".