2188432150272 has 648 divisors, whose sum is σ = 6912690919680. Its totient is φ = 663693004800.

The previous prime is 2188432150249. The next prime is 2188432150273. The reversal of 2188432150272 is 2720512348812.

2188432150272 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 4 + 321 + 50 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188432150273) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10371716247 + ... + 10371716457.

Almost surely, 2^{2188432150272} 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 2188432150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456345459840).

2188432150272 is an abundant number, since it is smaller than the sum of its proper divisors (4724258769408).

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

2188432150272 is a wasteful number, since it uses less digits than its factorization.

2188432150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2188432150272 in words is "two trillion, one hundred eighty-eight billion, four hundred thirty-two million, one hundred fifty thousand, two hundred seventy-two".