46464201533125 has 40 divisors (see below), whose sum is σ = 61085313911160. Its totient is φ = 35284613760000.

The previous prime is 46464201533089. The next prime is 46464201533249. The reversal of 46464201533125 is 52133510246464.

It can be written as a sum of positive squares in 20 ways, for example, as 38887521392196 + 7576680140929 = 6235986^2 + 2752577^2 .

It is not a de Polignac number, because 46464201533125 - 2¹⁷ = 46464201402053 is a prime.

It is a super-2 number, since 2×46464201533125² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 23555080 + ... + 25451329.

It is an arithmetic number, because the mean of its divisors is an integer number (1527132847779).

Almost surely, 2^{46464201533125} is an apocalyptic number.

It is an amenable number.

46464201533125 is a deficient number, since it is larger than the sum of its proper divisors (14621112378035).

46464201533125 is an equidigital number, since it uses as much as digits as its factorization.

46464201533125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49006507 (or 49006492 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

Adding to 46464201533125 its reverse (52133510246464), we get a palindrome (98597711779589).

The spelling of 46464201533125 in words is "forty-six trillion, four hundred sixty-four billion, two hundred one million, five hundred thirty-three thousand, one hundred twenty-five".