2048714591616 has 640 divisors, whose sum is σ = 7786905477120. Its totient is φ = 519146496000.

The previous prime is 2048714591593. The next prime is 2048714591617. The reversal of 2048714591616 is 6161954178402.

2048714591616 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 7 + 14 + 5 + 9 + 1 + 616 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048714591617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32700481 + ... + 32763071.

It is an arithmetic number, because the mean of its divisors is an integer number (12167039808).

Almost surely, 2^{2048714591616} 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 2048714591616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893452738560).

2048714591616 is an abundant number, since it is smaller than the sum of its proper divisors (5738190885504).

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

2048714591616 is a wasteful number, since it uses less digits than its factorization.

2048714591616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62676 (or 62655 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2048714591616 in words is "two trillion, forty-eight billion, seven hundred fourteen million, five hundred ninety-one thousand, six hundred sixteen".