19649030625 has 225 divisors, whose sum is σ = 43151708127. Its totient is φ = 8881488000.

The previous prime is 19649030581. The next prime is 19649030629. The reversal of 19649030625 is 52603094691.

The square root of 19649030625 is 140175.

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

19649030625 is a `hidden beast` number, since 19 + 6 + 4 + 9 + 0 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 19087909281 + 561121344 = 138159^2 + 23688^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 19649030625 - 2¹⁵ = 19648997857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19649030629) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 220775581 + ... + 220775669.

Almost surely, 2^19649030625 is an apocalyptic number.

19649030625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19649030625 is the 140175-th square number.

19649030625 is the 70088-th centered octagonal number.

It is an amenable number.

19649030625 is an abundant number, since it is smaller than the sum of its proper divisors (23502677502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19649030625 is an frugal number, since it uses more digits than its factorization.

19649030625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 19649030625 in words is "nineteen billion, six hundred forty-nine million, thirty thousand, six hundred twenty-five".