164304105003540 has 36 divisors (see below), whose sum is σ = 498389118511284. Its totient is φ = 43814428000896.

The previous prime is 164304105003457. The next prime is 164304105003547. The reversal of 164304105003540 is 45300501403461.

164304105003540 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 0 + 4 + 105 + 0 + 0 + 3 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17226102388356 + 147078002615184 = 4150434^2 + 12127572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164304105003495 and 164304105003504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164304105003547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456400291497 + ... + 456400291856.

It is an arithmetic number, because the mean of its divisors is an integer number (13844142180869).

Almost surely, 2^{164304105003540} is an apocalyptic number.

164304105003540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164304105003540 is an abundant number, since it is smaller than the sum of its proper divisors (334085013507744).

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

164304105003540 is a wasteful number, since it uses less digits than its factorization.

164304105003540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912800583368 (or 912800583363 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 164304105003540 in words is "one hundred sixty-four trillion, three hundred four billion, one hundred five million, three thousand, five hundred forty".