900648450625 has 405 divisors, whose sum is σ = 1583193729117. Its totient is φ = 510195840000.

The previous prime is 900648450553. The next prime is 900648450673. The reversal of 900648450625 is 526054846009.

The square root of 900648450625 is 949025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 899479631281 + 1168819344 = 948409^2 + 34188^2 .

It is not a de Polignac number, because 900648450625 - 2⁹ = 900648450113 is a prime.

It is a super-2 number, since 2×900648450625² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 404 ways as a sum of consecutive naturals, for example, 31056843111 + ... + 31056843139.

Almost surely, 2^900648450625 is an apocalyptic number.

900648450625 is the 949025-th square number.

900648450625 is the 474513-rd centered octagonal number.

It is an amenable number.

900648450625 is a deficient number, since it is larger than the sum of its proper divisors (682545278492).

900648450625 is a wasteful number, since it uses less digits than its factorization.

900648450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 900648450625 by its sum of digits (49), we get a square (44131774080625 = 6643175²).

900648450625 divided by its sum of digits (49) gives a square (18380580625 = 135575²).

The spelling of 900648450625 in words is "nine hundred billion, six hundred forty-eight million, four hundred fifty thousand, six hundred twenty-five".