46344711213025 has 27 divisors (see below), whose sum is σ = 57829089000249. Its totient is φ = 36843898878720.

The previous prime is 46344711213011. The next prime is 46344711213029. The reversal of 46344711213025 is 52031211744364.

The square root of 46344711213025 is 6807695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19971625041 + 46324739587984 = 141321^2 + 6806228^2 .

It is not a de Polignac number, because 46344711213025 - 2¹³ = 46344711204833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46344711213029) 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, 5548267249 + ... + 5548275601.

Almost surely, 2^{46344711213025} is an apocalyptic number.

46344711213025 is the 6807695-th square number.

46344711213025 is the 3403848-th centered octagonal number.

It is an amenable number.

46344711213025 is a deficient number, since it is larger than the sum of its proper divisors (11484377787224).

46344711213025 is an frugal number, since it uses more digits than its factorization.

46344711213025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

Adding to 46344711213025 its reverse (52031211744364), we get a palindrome (98375922957389).

The spelling of 46344711213025 in words is "forty-six trillion, three hundred forty-four billion, seven hundred eleven million, two hundred thirteen thousand, twenty-five".