85901366353401 has 45 divisors (see below), whose sum is σ = 130112930168991. Its totient is φ = 56479086299808.

The previous prime is 85901366353357. The next prime is 85901366353427. The reversal of 85901366353401 is 10435366310958.

The square root of 85901366353401 is 9268299.

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

85901366353401 is a `hidden beast` number, since 8 + 5 + 90 + 13 + 6 + 6 + 3 + 534 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48761800191225 + 37139566162176 = 6982965^2 + 6094224^2 .

It is not a de Polignac number, because 85901366353401 - 2¹³ = 85901366345209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85901366353471) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6089265390 + ... + 6089279496.

Almost surely, 2^{85901366353401} is an apocalyptic number.

85901366353401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85901366353401 is the 9268299-th square number.

85901366353401 is the 4634150-th centered octagonal number.

It is an amenable number.

85901366353401 is a deficient number, since it is larger than the sum of its proper divisors (44211563815590).

85901366353401 is an frugal number, since it uses more digits than its factorization.

85901366353401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28372 (or 14183 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 85901366353401 in words is "eighty-five trillion, nine hundred one billion, three hundred sixty-six million, three hundred fifty-three thousand, four hundred one".