13452613092072 has 1152 divisors, whose sum is σ = 48910757575680. Its totient is φ = 3424643712000.

The previous prime is 13452613092047. The next prime is 13452613092073. The reversal of 13452613092072 is 27029031625431.

It is a happy number.

13452613092072 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 613 + 0 + 9 + 20 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13452613092073) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15697331068 + ... + 15697331924.

It is an arithmetic number, because the mean of its divisors is an integer number (42457254840).

Almost surely, 2^{13452613092072} is an apocalyptic number.

13452613092072 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 13452613092072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455378787840).

13452613092072 is an abundant number, since it is smaller than the sum of its proper divisors (35458144483608).

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

13452613092072 is a wasteful number, since it uses less digits than its factorization.

13452613092072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1162 counting only the distinct ones).

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

The spelling of 13452613092072 in words is "thirteen trillion, four hundred fifty-two billion, six hundred thirteen million, ninety-two thousand, seventy-two".