12228155746884 has 945 divisors, whose sum is σ = 42489012298971. Its totient is φ = 3066622130880.

The previous prime is 12228155746871. The next prime is 12228155746897. The reversal of 12228155746884 is 48864755182221.

The square root of 12228155746884 is 3496878.

It is a perfect power (a square), and thus also a powerful number.

12228155746884 is a `hidden beast` number, since 1 + 22 + 28 + 1 + 5 + 57 + 468 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (12228155746871) and next prime (12228155746897).

It can be written as a sum of positive squares in 2 ways, for example, as 29062748484 + 12199092998400 = 170478^2 + 3492720^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 421660542982 + ... + 421660543010.

Almost surely, 2^{12228155746884} is an apocalyptic number.

12228155746884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12228155746884 is the 3496878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12228155746884

12228155746884 is an abundant number, since it is smaller than the sum of its proper divisors (30260856552087).

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

12228155746884 is an frugal number, since it uses more digits than its factorization.

12228155746884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 52 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The spelling of 12228155746884 in words is "twelve trillion, two hundred twenty-eight billion, one hundred fifty-five million, seven hundred forty-six thousand, eight hundred eighty-four".