2356406133481 has 9 divisors (see below), whose sum is σ = 2360310102423. Its totient is φ = 2352508618680.

The previous prime is 2356406133479. The next prime is 2356406133527. The reversal of 2356406133481 is 1843316046532.

It is a happy number.

The square root of 2356406133481 is 1535059.

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., 797254337881 + 1559151795600 = 892891^2 + 1248660^2 .

It is not a de Polignac number, because 2356406133481 - 2¹ = 2356406133479 is a prime.

It is a super-2 number, since 2×2356406133481² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2356406133421) 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, 1521242695 + ... + 1521244243.

It is an arithmetic number, because the mean of its divisors is an integer number (262256678047).

Almost surely, 2^{2356406133481} is an apocalyptic number.

2356406133481 is the 1535059-th square number.

2356406133481 is the 767530-th centered octagonal number.

It is an amenable number.

2356406133481 is a deficient number, since it is larger than the sum of its proper divisors (3903968942).

2356406133481 is an frugal number, since it uses more digits than its factorization.

2356406133481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 2356406133481 in words is "two trillion, three hundred fifty-six billion, four hundred six million, one hundred thirty-three thousand, four hundred eighty-one".