1901657664 has 189 divisors, whose sum is σ = 5771091963. Its totient is φ = 598650624.

The previous prime is 1901657657. The next prime is 1901657669. The reversal of 1901657664 is 4667561091.

The square root of 1901657664 is 43608.

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

1901657664 is a `hidden beast` number, since 1 + 9 + 0 + 16 + 576 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (1901657669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24071577 + ... + 24071655.

Almost surely, 2^1901657664 is an apocalyptic number.

1901657664 is the 43608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901657664

1901657664 is an abundant number, since it is smaller than the sum of its proper divisors (3869434299).

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

1901657664 is an equidigital number, since it uses as much as digits as its factorization.

1901657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 1901657664 is about 1238.9224214530.

The spelling of 1901657664 in words is "one billion, nine hundred one million, six hundred fifty-seven thousand, six hundred sixty-four".