164020035781344 has 96 divisors (see below), whose sum is σ = 453224024628480. Its totient is φ = 51794570161152.

The previous prime is 164020035781331. The next prime is 164020035781361. The reversal of 164020035781344 is 443187530020461.

164020035781344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×164020035781344³ (a number of 44 digits) contains 333 as substring.

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 = 164020035781293 and 164020035781302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77299509 + ... + 79393035.

It is an arithmetic number, because the mean of its divisors is an integer number (4721083589880).

Almost surely, 2^{164020035781344} is an apocalyptic number.

It is an amenable number.

164020035781344 is an abundant number, since it is smaller than the sum of its proper divisors (289203988847136).

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

164020035781344 is a wasteful number, since it uses less digits than its factorization.

164020035781344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136512 (or 2136504 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 164020035781344 in words is "one hundred sixty-four trillion, twenty billion, thirty-five million, seven hundred eighty-one thousand, three hundred forty-four".