9901645369344 has 351 divisors, whose sum is σ = 29748810473967. Its totient is φ = 3295110979584.

The previous prime is 9901645369339. The next prime is 9901645369393. The reversal of 9901645369344 is 4439635461099.

The square root of 9901645369344 is 3146688.

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

9901645369344 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 6 + 4 + 536 + 93 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16312430289 + ... + 16312430895.

Almost surely, 2^{9901645369344} is an apocalyptic number.

9901645369344 is the 3146688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9901645369344

9901645369344 is an abundant number, since it is smaller than the sum of its proper divisors (19847165104623).

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

9901645369344 is an frugal number, since it uses more digits than its factorization.

9901645369344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 9901645369344 in words is "nine trillion, nine hundred one billion, six hundred forty-five million, three hundred sixty-nine thousand, three hundred forty-four".