2149348001472 has 588 divisors, whose sum is σ = 7463192293296. Its totient is φ = 613875386880.

The previous prime is 2149348001459. The next prime is 2149348001519. The reversal of 2149348001472 is 2741008439412.

2149348001472 is a `hidden beast` number, since 2 + 1 + 4 + 93 + 480 + 0 + 14 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 784146022 + ... + 784148762.

Almost surely, 2^{2149348001472} 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 2149348001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731596146648).

2149348001472 is an abundant number, since it is smaller than the sum of its proper divisors (5313844291824).

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

2149348001472 is an frugal number, since it uses more digits than its factorization.

2149348001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2149348001472 in words is "two trillion, one hundred forty-nine billion, three hundred forty-eight million, one thousand, four hundred seventy-two".