164404130453253 has 32 divisors (see below), whose sum is σ = 243863393280000. Its totient is φ = 109466986632048.

The previous prime is 164404130453197. The next prime is 164404130453257. The reversal of 164404130453253 is 352354031404461.

164404130453253 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 41 + 304 + 53 + 253 = 666.

It is not a de Polignac number, because 164404130453253 - 2²¹ = 164404128356101 is a prime.

It is a super-3 number, since 3×164404130453253³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164404130453199 and 164404130453208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404130453257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577616676 + ... + 1577720882.

It is an arithmetic number, because the mean of its divisors is an integer number (7620731040000).

Almost surely, 2^{164404130453253} is an apocalyptic number.

It is an amenable number.

164404130453253 is a deficient number, since it is larger than the sum of its proper divisors (79459262826747).

164404130453253 is a wasteful number, since it uses less digits than its factorization.

164404130453253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176038 (or 176032 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 164404130453253 in words is "one hundred sixty-four trillion, four hundred four billion, one hundred thirty million, four hundred fifty-three thousand, two hundred fifty-three".