9945777557744 has 40 divisors (see below), whose sum is σ = 22031433573600. Its totient is φ = 4260803758848.

The previous prime is 9945777557741. The next prime is 9945777557759. The reversal of 9945777557744 is 4477557775499.

It is a super-3 number, since 3×9945777557744³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945777557741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17133419 + ... + 17704394.

It is an arithmetic number, because the mean of its divisors is an integer number (550785839340).

Almost surely, 2^{9945777557744} is an apocalyptic number.

It is an amenable number.

9945777557744 is an abundant number, since it is smaller than the sum of its proper divisors (12085656015856).

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

9945777557744 is a wasteful number, since it uses less digits than its factorization.

9945777557744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34840377 (or 34840371 counting only the distinct ones).

The product of its digits is 10890936000, while the sum is 80.

It can be divided in two parts, 994577755 and 7744, that added together give a palindrome (994585499).

The spelling of 9945777557744 in words is "nine trillion, nine hundred forty-five billion, seven hundred seventy-seven million, five hundred fifty-seven thousand, seven hundred forty-four".