35293793776164 has 675 divisors, whose sum is σ = 115174533654635. Its totient is φ = 9112325634720.

The previous prime is 35293793776147. The next prime is 35293793776169. The reversal of 35293793776164 is 46167739739253.

The square root of 35293793776164 is 5940858.

It is a perfect power (a square), and thus also a powerful number.

35293793776164 is a `hidden beast` number, since 3 + 5 + 2 + 93 + 7 + 9 + 377 + 6 + 164 = 666.

It is a super-3 number, since 3×35293793776164³ (a number of 42 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 = 35293793776092 and 35293793776101.

It is not an unprimeable number, because it can be changed into a prime (35293793776169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 211340082409 + ... + 211340082575.

Almost surely, 2^{35293793776164} is an apocalyptic number.

35293793776164 is the 5940858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35293793776164

35293793776164 is an abundant number, since it is smaller than the sum of its proper divisors (79880739878471).

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

35293793776164 is an frugal number, since it uses more digits than its factorization.

35293793776164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 190 counting only the distinct ones).

The product of its digits is 1080203040, while the sum is 72.

The spelling of 35293793776164 in words is "thirty-five trillion, two hundred ninety-three billion, seven hundred ninety-three million, seven hundred seventy-six thousand, one hundred sixty-four".