736248086401 has 27 divisors (see below), whose sum is σ = 771890043459. Its totient is φ = 702227301600.

The previous prime is 736248086369. The next prime is 736248086419. The reversal of 736248086401 is 104680842637.

The square root of 736248086401 is 858049.

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

It can be written as a sum of positive squares in only one way, i.e., 141375248001 + 594872838400 = 375999^2 + 771280^2 .

It is not a de Polignac number, because 736248086401 - 2⁵ = 736248086369 is a prime.

It is a super-2 number, since 2×736248086401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (736248086461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2367357036 + ... + 2367357346.

Almost surely, 2^736248086401 is an apocalyptic number.

736248086401 is the 858049-th square number.

736248086401 is the 429025-th centered octagonal number.

It is an amenable number.

736248086401 is a deficient number, since it is larger than the sum of its proper divisors (35641957058).

736248086401 is an frugal number, since it uses more digits than its factorization.

736248086401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 736248086401 by its sum of digits (49), we get a square (36076156233649 = 6006343²).

The spelling of 736248086401 in words is "seven hundred thirty-six billion, two hundred forty-eight million, eighty-six thousand, four hundred one".