2048158811232 has 288 divisors, whose sum is σ = 6109688632320. Its totient is φ = 650023418880.

The previous prime is 2048158811159. The next prime is 2048158811297. The reversal of 2048158811232 is 2321188518402.

2048158811232 is a `hidden beast` number, since 2 + 0 + 48 + 1 + 588 + 1 + 1 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639448543 + ... + 639451745.

It is an arithmetic number, because the mean of its divisors is an integer number (21214196640).

Almost surely, 2^{2048158811232} 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 2048158811232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054844316160).

2048158811232 is an abundant number, since it is smaller than the sum of its proper divisors (4061529821088).

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

2048158811232 is a wasteful number, since it uses less digits than its factorization.

2048158811232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 2048158811232 in words is "two trillion, forty-eight billion, one hundred fifty-eight million, eight hundred eleven thousand, two hundred thirty-two".