2191148788950 has 768 divisors, whose sum is σ = 7030350028800. Its totient is φ = 496584000000.

The previous prime is 2191148788919. The next prime is 2191148788951. The reversal of 2191148788950 is 598878411912.

2191148788950 is a `hidden beast` number, since 2 + 19 + 11 + 487 + 8 + 89 + 50 = 666.

It is a super-2 number, since 2×2191148788950² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191148788951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5229471841 + ... + 5229472259.

It is an arithmetic number, because the mean of its divisors is an integer number (9154101600).

Almost surely, 2^{2191148788950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191148788950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515175014400).

2191148788950 is an abundant number, since it is smaller than the sum of its proper divisors (4839201239850).

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

2191148788950 is a wasteful number, since it uses less digits than its factorization.

2191148788950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 2191148788950 in words is "two trillion, one hundred ninety-one billion, one hundred forty-eight million, seven hundred eighty-eight thousand, nine hundred fifty".