9148272567840 has 1440 divisors, whose sum is σ = 38469865896000. Its totient is φ = 2040755834880.

The previous prime is 9148272567829. The next prime is 9148272567859. The reversal of 9148272567840 is 487652728419.

It is a happy number.

9148272567840 is a `hidden beast` number, since 9 + 1 + 4 + 8 + 27 + 2 + 567 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5384503311 + ... + 5384505009.

It is an arithmetic number, because the mean of its divisors is an integer number (26715184650).

Almost surely, 2^{9148272567840} is an apocalyptic number.

9148272567840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9148272567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234932948000).

9148272567840 is an abundant number, since it is smaller than the sum of its proper divisors (29321593328160).

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

9148272567840 is a wasteful number, since it uses less digits than its factorization.

9148272567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 9148272567840 in words is "nine trillion, one hundred forty-eight billion, two hundred seventy-two million, five hundred sixty-seven thousand, eight hundred forty".