1147946140224 has 224 divisors, whose sum is σ = 3693928990080. Its totient is φ = 347423385600.

The previous prime is 1147946140193. The next prime is 1147946140267. The reversal of 1147946140224 is 4220416497411.

1147946140224 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 9 + 4 + 614 + 0 + 2 + 24 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1147946140224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951439 + ... + 1789169.

It is an arithmetic number, because the mean of its divisors is an integer number (16490754420).

Almost surely, 2^{1147946140224} 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 1147946140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846964495040).

1147946140224 is an abundant number, since it is smaller than the sum of its proper divisors (2545982849856).

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

1147946140224 is a wasteful number, since it uses less digits than its factorization.

1147946140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837826 (or 837810 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1147946140224 in words is "one trillion, one hundred forty-seven billion, nine hundred forty-six million, one hundred forty thousand, two hundred twenty-four".