46009092456513 has 24 divisors (see below), whose sum is σ = 67632345354600. Its totient is φ = 30134918271744.

The previous prime is 46009092456497. The next prime is 46009092456517. The reversal of 46009092456513 is 31565429090064.

46009092456513 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 90 + 92 + 456 + 5 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 350313648129 + 45658778808384 = 591873^2 + 6757128^2 .

It is not a de Polignac number, because 46009092456513 - 2⁴ = 46009092456497 is a prime.

It is a super-3 number, since 3×46009092456513³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 46009092456513.

It is not an unprimeable number, because it can be changed into a prime (46009092456517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182802798 + ... + 183054311.

It is an arithmetic number, because the mean of its divisors is an integer number (2818014389775).

Almost surely, 2^{46009092456513} is an apocalyptic number.

It is an amenable number.

46009092456513 is a deficient number, since it is larger than the sum of its proper divisors (21623252898087).

46009092456513 is a wasteful number, since it uses less digits than its factorization.

46009092456513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365857361 (or 365857358 counting only the distinct ones).

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

The spelling of 46009092456513 in words is "forty-six trillion, nine billion, ninety-two million, four hundred fifty-six thousand, five hundred thirteen".