9613905732144 has 200 divisors, whose sum is σ = 31807936855200. Its totient is φ = 2746187338752.

The previous prime is 9613905732121. The next prime is 9613905732247. The reversal of 9613905732144 is 4412375093169.

9613905732144 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 9 + 0 + 573 + 21 + 44 = 666.

9613905732144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39332292 + ... + 39575964.

It is an arithmetic number, because the mean of its divisors is an integer number (159039684276).

Almost surely, 2^{9613905732144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9613905732144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903968427600).

9613905732144 is an abundant number, since it is smaller than the sum of its proper divisors (22194031123056).

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

9613905732144 is a wasteful number, since it uses less digits than its factorization.

9613905732144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248049 (or 248034 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9613905732144 in words is "nine trillion, six hundred thirteen billion, nine hundred five million, seven hundred thirty-two thousand, one hundred forty-four".