9945782761131 has 48 divisors (see below), whose sum is σ = 16769614178304. Its totient is φ = 5561769120192.

The previous prime is 9945782761129. The next prime is 9945782761147. The reversal of 9945782761131 is 1311672875499.

9945782761131 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 7 + 8 + 2 + 7 + 611 + 3 + 1 = 666.

It is not a de Polignac number, because 9945782761131 - 2¹ = 9945782761129 is a prime.

It is a super-2 number, since 2×9945782761131² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9945782761171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27335850 + ... + 27697296.

It is an arithmetic number, because the mean of its divisors is an integer number (349366962048).

Almost surely, 2^{9945782761131} is an apocalyptic number.

9945782761131 is a deficient number, since it is larger than the sum of its proper divisors (6823831417173).

9945782761131 is a wasteful number, since it uses less digits than its factorization.

9945782761131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370800 (or 370797 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 9945782761131 in words is "nine trillion, nine hundred forty-five billion, seven hundred eighty-two million, seven hundred sixty-one thousand, one hundred thirty-one".