1223186946048 has 288 divisors, whose sum is σ = 3679973715600. Its totient is φ = 405910683648.

The previous prime is 1223186946017. The next prime is 1223186946089. The reversal of 1223186946048 is 8406496813221.

1223186946048 is a `hidden beast` number, since 1 + 2 + 23 + 1 + 8 + 6 + 9 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1223186945985 and 1223186946003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113959690 + ... + 113970422.

Almost surely, 2^{1223186946048} is an apocalyptic number.

1223186946048 is a gapful number since it is divisible by the number (18) 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 1223186946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839986857800).

1223186946048 is an abundant number, since it is smaller than the sum of its proper divisors (2456786769552).

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

1223186946048 is an equidigital number, since it uses as much as digits as its factorization.

1223186946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10999 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1223186946048 in words is "one trillion, two hundred twenty-three billion, one hundred eighty-six million, nine hundred forty-six thousand, forty-eight".