2115509048352 has 384 divisors, whose sum is σ = 7348755456000. Its totient is φ = 591567024384.

The previous prime is 2115509048351. The next prime is 2115509048447. The reversal of 2115509048352 is 2538409055112.

2115509048352 is a `hidden beast` number, since 2 + 1 + 1 + 550 + 9 + 0 + 48 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2115509048298 and 2115509048307.

It is not an unprimeable number, because it can be changed into a prime (2115509048351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13852603 + ... + 14004485.

It is an arithmetic number, because the mean of its divisors is an integer number (19137384000).

Almost surely, 2^{2115509048352} 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 2115509048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674377728000).

2115509048352 is an abundant number, since it is smaller than the sum of its proper divisors (5233246407648).

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

2115509048352 is a wasteful number, since it uses less digits than its factorization.

2115509048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151970 (or 151942 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 2115509048352 in words is "two trillion, one hundred fifteen billion, five hundred nine million, forty-eight thousand, three hundred fifty-two".