46272305640625 has 21 divisors (see below), whose sum is σ = 57840704570911. Its totient is φ = 37017164275000.

The previous prime is 46272305640607. The next prime is 46272305640629. The reversal of 46272305640625 is 52604650327264.

The square root of 46272305640625 is 6802375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 40538981882529 + 5733323758096 = 6367023^2 + 2394436^2 .

It is not a de Polignac number, because 46272305640625 - 2¹³ = 46272305632433 is a prime.

It is a super-2 number, since 2×46272305640625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46272305640629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 850269666 + ... + 850324084.

Almost surely, 2^{46272305640625} is an apocalyptic number.

46272305640625 is the 6802375-th square number.

46272305640625 is the 3401188-th centered octagonal number.

It is an amenable number.

46272305640625 is a deficient number, since it is larger than the sum of its proper divisors (11568398930286).

46272305640625 is an frugal number, since it uses more digits than its factorization.

46272305640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108868 (or 54424 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 52.

Adding to 46272305640625 its reverse (52604650327264), we get a palindrome (98876955967889).

The spelling of 46272305640625 in words is "forty-six trillion, two hundred seventy-two billion, three hundred five million, six hundred forty thousand, six hundred twenty-five".