9119272587964 has 480 divisors, whose sum is σ = 22778126380800. Its totient is φ = 3148159150080.

The previous prime is 9119272587961. The next prime is 9119272588007. The reversal of 9119272587964 is 4697852729119.

It is a super-2 number, since 2×9119272587964² (a number of 27 digits) contains 22 as substring.

Its product of digits (137168640) is a multiple of the sum of its prime divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 9119272587893 and 9119272587902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9119272587961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6108018402 + ... + 6108019894.

It is an arithmetic number, because the mean of its divisors is an integer number (47454429960).

Almost surely, 2^{9119272587964} 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 9119272587964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11389063190400).

9119272587964 is an abundant number, since it is smaller than the sum of its proper divisors (13658853792836).

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

9119272587964 is a wasteful number, since it uses less digits than its factorization.

9119272587964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1728 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 70.

The spelling of 9119272587964 in words is "nine trillion, one hundred nineteen billion, two hundred seventy-two million, five hundred eighty-seven thousand, nine hundred sixty-four".