85762398118401 has 9 divisors (see below), whose sum is σ = 123879059634499. Its totient is φ = 57174913557336.

The previous prime is 85762398118381. The next prime is 85762398118409. The reversal of 85762398118401 is 10481189326758.

The square root of 85762398118401 is 9260799.

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

85762398118401 is a `hidden beast` number, since 8 + 5 + 7 + 6 + 23 + 98 + 118 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84222009335025 + 1540388783376 = 9177255^2 + 1241124^2 .

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

It is not a de Polignac number, because 85762398118401 - 2¹³ = 85762398110209 is a prime.

It is a super-2 number, since 2×85762398118401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85762398118409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26238931 + ... + 29325863.

It is a 2-persistent number, because it is pandigital, and so is 2⋅85762398118401 = 171524796236802, but 3⋅85762398118401 = 257287194355203 is not.

Almost surely, 2^{85762398118401} is an apocalyptic number.

85762398118401 is the 9260799-th square number.

85762398118401 is the 4630400-th centered octagonal number.

It is an amenable number.

85762398118401 is a deficient number, since it is larger than the sum of its proper divisors (38116661516098).

85762398118401 is an frugal number, since it uses more digits than its factorization.

85762398118401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173872 (or 3086936 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 85762398118401 in words is "eighty-five trillion, seven hundred sixty-two billion, three hundred ninety-eight million, one hundred eighteen thousand, four hundred one".