472646948798025 has 135 divisors (see below), whose sum is σ = 880750274829271. Its totient is φ = 250577238445920.

The previous prime is 472646948797973. The next prime is 472646948798047. The reversal of 472646948798025 is 520897849646274.

The square root of 472646948798025 is 21740445.

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

472646948798025 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 46 + 9 + 487 + 98 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170152901567289 + 302494047230736 = 13044267^2 + 17392356^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 472646948798025 - 2¹³ = 472646948789833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 175119283126 + ... + 175119285824.

Almost surely, 2^{472646948798025} is an apocalyptic number.

472646948798025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

472646948798025 is the 21740445-th square number.

472646948798025 is the 10870223-rd centered octagonal number.

It is an amenable number.

472646948798025 is a deficient number, since it is larger than the sum of its proper divisors (408103326031246).

472646948798025 is an frugal number, since it uses more digits than its factorization.

472646948798025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 81.

472646948798025 divided by its sum of digits (81) gives a square (5835147516025 = 2415605²).

The spelling of 472646948798025 in words is "four hundred seventy-two trillion, six hundred forty-six billion, nine hundred forty-eight million, seven hundred ninety-eight thousand, twenty-five".