13414022946072 has 288 divisors, whose sum is σ = 44507934993600. Its totient is φ = 3629014316928.

The previous prime is 13414022946061. The next prime is 13414022946073. The reversal of 13414022946072 is 27064922041431.

13414022946072 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 0 + 2 + 29 + 4 + 607 + 2 = 666.

It is a super-2 number, since 2×13414022946072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414022946073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134215143 + ... + 134315049.

It is an arithmetic number, because the mean of its divisors is an integer number (154541440950).

Almost surely, 2^{13414022946072} is an apocalyptic number.

13414022946072 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 13414022946072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22253967496800).

13414022946072 is an abundant number, since it is smaller than the sum of its proper divisors (31093912047528).

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

13414022946072 is a wasteful number, since it uses less digits than its factorization.

13414022946072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101955 (or 101941 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13414022946072 in words is "thirteen trillion, four hundred fourteen billion, twenty-two million, nine hundred forty-six thousand, seventy-two".