1228524385536 has 288 divisors, whose sum is σ = 4162175942400. Its totient is φ = 350143119360.

The previous prime is 1228524385519. The next prime is 1228524385541. The reversal of 1228524385536 is 6355834258221.

1228524385536 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 5 + 24 + 3 + 85 + 536 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19758016 + ... + 19820096.

It is an arithmetic number, because the mean of its divisors is an integer number (14451999800).

Almost surely, 2^{1228524385536} is an apocalyptic number.

1228524385536 is a gapful number since it is divisible by the number (16) 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 1228524385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081087971200).

1228524385536 is an abundant number, since it is smaller than the sum of its proper divisors (2933651556864).

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

1228524385536 is an equidigital number, since it uses as much as digits as its factorization.

1228524385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62522 (or 62502 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 1228524385536 in words is "one trillion, two hundred twenty-eight billion, five hundred twenty-four million, three hundred eighty-five thousand, five hundred thirty-six".