46117151303521 has 27 divisors (see below), whose sum is σ = 49122186835059. Its totient is φ = 43289605662912.

The previous prime is 46117151303473. The next prime is 46117151303527. The reversal of 46117151303521 is 12530315171164.

The square root of 46117151303521 is 6790961.

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., 812621117025 + 45304530186496 = 901455^2 + 6730864^2 .

It is not a de Polignac number, because 46117151303521 - 2⁷ = 46117151303393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46117151303527) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14580191686 + ... + 14580194848.

Almost surely, 2^{46117151303521} is an apocalyptic number.

46117151303521 is the 6790961-st square number.

46117151303521 is the 3395481-st centered octagonal number.

It is an amenable number.

46117151303521 is a deficient number, since it is larger than the sum of its proper divisors (3005035531538).

46117151303521 is an frugal number, since it uses more digits than its factorization.

46117151303521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

Adding to 46117151303521 its reverse (12530315171164), we get a palindrome (58647466474685).

The spelling of 46117151303521 in words is "forty-six trillion, one hundred seventeen billion, one hundred fifty-one million, three hundred three thousand, five hundred twenty-one".