164256661344 has 48 divisors (see below), whose sum is σ = 431467223040. Its totient is φ = 54714952320.

The previous prime is 164256661343. The next prime is 164256661357. The reversal of 164256661344 is 443166652461.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 164256661293 and 164256661302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164256661343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440364 + ... + 722795.

It is an arithmetic number, because the mean of its divisors is an integer number (8988900480).

Almost surely, 2^164256661344 is an apocalyptic number.

It is an amenable number.

164256661344 is an abundant number, since it is smaller than the sum of its proper divisors (267210561696).

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

164256661344 is a wasteful number, since it uses less digits than its factorization.

164256661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164643 (or 1164635 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 164256661344 in words is "one hundred sixty-four billion, two hundred fifty-six million, six hundred sixty-one thousand, three hundred forty-four".