2011195218648 has 384 divisors, whose sum is σ = 6642857410560. Its totient is φ = 495726739200.

The previous prime is 2011195218607. The next prime is 2011195218661. The reversal of 2011195218648 is 8468125911102.

It is a junction number, because it is equal to n+sod(n) for n = 2011195218597 and 2011195218606.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 59361153 + ... + 59395023.

It is an arithmetic number, because the mean of its divisors is an integer number (17299107840).

Almost surely, 2^{2011195218648} is an apocalyptic number.

2011195218648 is a gapful number since it is divisible by the number (28) 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 2011195218648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321428705280).

2011195218648 is an abundant number, since it is smaller than the sum of its proper divisors (4631662191912).

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

2011195218648 is a wasteful number, since it uses less digits than its factorization.

2011195218648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34059 (or 34044 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 2011195218648 in words is "two trillion, eleven billion, one hundred ninety-five million, two hundred eighteen thousand, six hundred forty-eight".