4991180832288 has 1152 divisors, whose sum is σ = 17907873984000. Its totient is φ = 1365248618496.

The previous prime is 4991180832241. The next prime is 4991180832311. The reversal of 4991180832288 is 8822380811994.

4991180832288 is a `hidden beast` number, since 49 + 91 + 180 + 8 + 322 + 8 + 8 = 666.

It is a super-2 number, since 2×4991180832288² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13381181670 + ... + 13381182042.

It is an arithmetic number, because the mean of its divisors is an integer number (15545029500).

Almost surely, 2^{4991180832288} is an apocalyptic number.

4991180832288 is a gapful number since it is divisible by the number (48) 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 4991180832288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953936992000).

4991180832288 is an abundant number, since it is smaller than the sum of its proper divisors (12916693151712).

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

4991180832288 is a wasteful number, since it uses less digits than its factorization.

4991180832288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 4991180832288 in words is "four trillion, nine hundred ninety-one billion, one hundred eighty million, eight hundred thirty-two thousand, two hundred eighty-eight".