9145786978944 has 768 divisors, whose sum is σ = 35743765017600. Its totient is φ = 2272234567680.

The previous prime is 9145786978943. The next prime is 9145786978949. The reversal of 9145786978944 is 4498796875419.

9145786978944 is a `hidden beast` number, since 9 + 1 + 457 + 8 + 6 + 9 + 78 + 94 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (9145786978943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42737299 + ... + 42950765.

It is an arithmetic number, because the mean of its divisors is an integer number (46541360700).

Almost surely, 2^{9145786978944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9145786978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871882508800).

9145786978944 is an abundant number, since it is smaller than the sum of its proper divisors (26597978038656).

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

9145786978944 is a wasteful number, since it uses less digits than its factorization.

9145786978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213538 (or 213513 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 9145786978944 in words is "nine trillion, one hundred forty-five billion, seven hundred eighty-six million, nine hundred seventy-eight thousand, nine hundred forty-four".