1476164250625 has 45 divisors (see below), whose sum is σ = 1929215499519. Its totient is φ = 1129051968000.

The previous prime is 1476164250607. The next prime is 1476164250629. The reversal of 1476164250625 is 5260524616741.

The square root of 1476164250625 is 1214975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1383655811521 + 92508439104 = 1176289^2 + 304152^2 .

It is not a de Polignac number, because 1476164250625 - 2¹⁹ = 1476163726337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1476164250629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 698609569 + ... + 698611681.

Almost surely, 2^{1476164250625} is an apocalyptic number.

1476164250625 is the 1214975-th square number.

1476164250625 is the 607488-th centered octagonal number.

It is an amenable number.

1476164250625 is a deficient number, since it is larger than the sum of its proper divisors (453051248894).

1476164250625 is an frugal number, since it uses more digits than its factorization.

1476164250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 1476164250625 by its sum of digits (49), we get a square (72332048280625 = 8504825²).

The spelling of 1476164250625 in words is "one trillion, four hundred seventy-six billion, one hundred sixty-four million, two hundred fifty thousand, six hundred twenty-five".