2188552153216 has 128 divisors (see below), whose sum is σ = 5123303458560. Its totient is φ = 918083911680.

The previous prime is 2188552153153. The next prime is 2188552153217. The reversal of 2188552153216 is 6123512558812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2188552153216.

It is not an unprimeable number, because it can be changed into a prime (2188552153217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120925480 + ... + 120943576.

It is an arithmetic number, because the mean of its divisors is an integer number (40025808270).

Almost surely, 2^{2188552153216} is an apocalyptic number.

2188552153216 is a gapful number since it is divisible by the number (26) 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 2188552153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561651729280).

2188552153216 is an abundant number, since it is smaller than the sum of its proper divisors (2934751305344).

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

2188552153216 is a wasteful number, since it uses less digits than its factorization.

2188552153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24742 (or 24730 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 49.

The spelling of 2188552153216 in words is "two trillion, one hundred eighty-eight billion, five hundred fifty-two million, one hundred fifty-three thousand, two hundred sixteen".