1235352728064 has 480 divisors, whose sum is σ = 4122360152064. Its totient is φ = 321842626560.

The previous prime is 1235352728009. The next prime is 1235352728069. The reversal of 1235352728064 is 4608272535321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1235352728069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150814209 + ... + 150822399.

Almost surely, 2^{1235352728064} is an apocalyptic number.

1235352728064 is a gapful number since it is divisible by the number (14) 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 1235352728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061180076032).

1235352728064 is an abundant number, since it is smaller than the sum of its proper divisors (2887007424000).

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

1235352728064 is an equidigital number, since it uses as much as digits as its factorization.

1235352728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 1235352728064 in words is "one trillion, two hundred thirty-five billion, three hundred fifty-two million, seven hundred twenty-eight thousand, sixty-four".