5611440646152 has 192 divisors, whose sum is σ = 17195196395520. Its totient is φ = 1637783280000.

The previous prime is 5611440646117. The next prime is 5611440646169. The reversal of 5611440646152 is 2516460441165.

5611440646152 is a `hidden beast` number, since 5 + 6 + 11 + 440 + 6 + 46 + 152 = 666.

It is a super-2 number, since 2×5611440646152² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5611440646098 and 5611440646107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4638877 + ... + 5722067.

It is an arithmetic number, because the mean of its divisors is an integer number (89558314560).

Almost surely, 2^{5611440646152} 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 5611440646152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597598197760).

5611440646152 is an abundant number, since it is smaller than the sum of its proper divisors (11583755749368).

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

5611440646152 is a wasteful number, since it uses less digits than its factorization.

5611440646152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083456 (or 1083449 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5611440646152 in words is "five trillion, six hundred eleven billion, four hundred forty million, six hundred forty-six thousand, one hundred fifty-two".