2247198012864 has 504 divisors, whose sum is σ = 7810286243760. Its totient is φ = 638754729984.

The previous prime is 2247198012863. The next prime is 2247198012869. The reversal of 2247198012864 is 4682108917422.

2247198012864 is a `hidden beast` number, since 2 + 2 + 471 + 9 + 80 + 12 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2247198012864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247198012863) 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, 150115972 + ... + 150130940.

It is an arithmetic number, because the mean of its divisors is an integer number (15496599690).

Almost surely, 2^{2247198012864} is an apocalyptic number.

2247198012864 is a gapful number since it is divisible by the number (24) 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 2247198012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905143121880).

2247198012864 is an abundant number, since it is smaller than the sum of its proper divisors (5563088230896).

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

2247198012864 is a wasteful number, since it uses less digits than its factorization.

2247198012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15207 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2247198012864 in words is "two trillion, two hundred forty-seven billion, one hundred ninety-eight million, twelve thousand, eight hundred sixty-four".