2149148160000 has 2080 divisors, whose sum is σ = 8843449190400. Its totient is φ = 513146880000.

The previous prime is 2149148159987. The next prime is 2149148160001. The reversal of 2149148160000 is 618419412.

2149148160000 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 1 + 48 + 1 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149148160001) 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 159 ways as a sum of consecutive naturals, for example, 36426239971 + ... + 36426240029.

Almost surely, 2^{2149148160000} is an apocalyptic number.

2149148160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149148160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421724595200).

2149148160000 is an abundant number, since it is smaller than the sum of its proper divisors (6694301030400).

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

2149148160000 is an equidigital number, since it uses as much as digits as its factorization.

2149148160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2149148160000 in words is "two trillion, one hundred forty-nine billion, one hundred forty-eight million, one hundred sixty thousand".