13601146249152 has 2352 divisors, whose sum is σ = 53322080198400. Its totient is φ = 3400528158720.

The previous prime is 13601146249151. The next prime is 13601146249177. The reversal of 13601146249152 is 25194264110631.

13601146249152 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 1 + 4 + 624 + 9 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a junction number, because it is equal to n+sod(n) for n = 13601146249098 and 13601146249107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13601146249151) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 132049963533 + ... + 132049963635.

Almost surely, 2^{13601146249152} is an apocalyptic number.

13601146249152 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 13601146249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661040099200).

13601146249152 is an abundant number, since it is smaller than the sum of its proper divisors (39720933949248).

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

13601146249152 is a wasteful number, since it uses less digits than its factorization.

13601146249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13601146249152 in words is "thirteen trillion, six hundred one billion, one hundred forty-six million, two hundred forty-nine thousand, one hundred fifty-two".