35947207368801 has 9 divisors (see below), whose sum is σ = 51923769958099. Its totient is φ = 23964792921336.

The previous prime is 35947207368757. The next prime is 35947207368841. The reversal of 35947207368801 is 10886370274953.

The square root of 35947207368801 is 5995599.

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

35947207368801 is a `hidden beast` number, since 3 + 59 + 472 + 0 + 7 + 36 + 8 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3923786531025 + 32023420837776 = 1980855^2 + 5658924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-35947207368801 is a prime.

It is a super-3 number, since 3×35947207368801³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35947207368841) 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 8 ways as a sum of consecutive naturals, for example, 16987531 + ... + 18986063.

It is a 1-persistent number, because it is pandigital, but 2⋅35947207368801 = 71894414737602 is not.

Almost surely, 2^{35947207368801} is an apocalyptic number.

35947207368801 is the 5995599-th square number.

35947207368801 is the 2997800-th centered octagonal number.

It is an amenable number.

35947207368801 is a deficient number, since it is larger than the sum of its proper divisors (15976562589298).

35947207368801 is an frugal number, since it uses more digits than its factorization.

35947207368801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997072 (or 1998536 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 35947207368801 in words is "thirty-five trillion, nine hundred forty-seven billion, two hundred seven million, three hundred sixty-eight thousand, eight hundred one".