163640475625 has 45 divisors (see below), whose sum is σ = 224917557249. Its totient is φ = 118930350000.

The previous prime is 163640475617. The next prime is 163640475637. The reversal of 163640475625 is 526574046361.

The square root of 163640475625 is 404525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 12829413289 + 150811062336 = 113267^2 + 388344^2 .

It is not a de Polignac number, because 163640475625 - 2³ = 163640475617 is a prime.

It is a super-3 number, since 3×163640475625³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111243640 + ... + 111245110.

Almost surely, 2^163640475625 is an apocalyptic number.

163640475625 is the 404525-th square number.

163640475625 is the 202263-rd centered octagonal number.

It is an amenable number.

163640475625 is a deficient number, since it is larger than the sum of its proper divisors (61277081624).

163640475625 is an frugal number, since it uses more digits than its factorization.

163640475625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 163640475625 by its sum of digits (49), we get a square (8018383305625 = 2831675²).

The spelling of 163640475625 in words is "one hundred sixty-three billion, six hundred forty million, four hundred seventy-five thousand, six hundred twenty-five".