13235634237072 has 80 divisors (see below), whose sum is σ = 36828849122240. Its totient is φ = 4071768915456.

The previous prime is 13235634237071. The next prime is 13235634237109. The reversal of 13235634237072 is 27073243653231.

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 (13235634237071) 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 15 ways as a sum of consecutive naturals, for example, 1559079 + ... + 5376057.

It is an arithmetic number, because the mean of its divisors is an integer number (460360614028).

Almost surely, 2^{13235634237072} is an apocalyptic number.

13235634237072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13235634237072 is an abundant number, since it is smaller than the sum of its proper divisors (23593214885168).

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

13235634237072 is a wasteful number, since it uses less digits than its factorization.

13235634237072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822560 (or 3822554 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 48.

The spelling of 13235634237072 in words is "thirteen trillion, two hundred thirty-five billion, six hundred thirty-four million, two hundred thirty-seven thousand, seventy-two".