13435226019072 has 864 divisors, whose sum is σ = 47061999968256. Its totient is φ = 3630326169600.

The previous prime is 13435226019029. The next prime is 13435226019107. The reversal of 13435226019072 is 27091062253431.

It is a happy number.

13435226019072 is a `hidden beast` number, since 1 + 3 + 4 + 35 + 2 + 2 + 601 + 9 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9059490843 + ... + 9059492325.

Almost surely, 2^{13435226019072} is an apocalyptic number.

13435226019072 is a gapful number since it is divisible by the number (12) 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 13435226019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23530999984128).

13435226019072 is an abundant number, since it is smaller than the sum of its proper divisors (33626773949184).

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

13435226019072 is a wasteful number, since it uses less digits than its factorization.

13435226019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13435226019072 in words is "thirteen trillion, four hundred thirty-five billion, two hundred twenty-six million, nineteen thousand, seventy-two".