2246197734144 has 2880 divisors, whose sum is σ = 9360481320960. Its totient is φ = 519202897920.

The previous prime is 2246197734061. The next prime is 2246197734217. The reversal of 2246197734144 is 4414377916422.

2246197734144 is a `hidden beast` number, since 2 + 2 + 4 + 619 + 7 + 7 + 3 + 4 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 47791441129 + ... + 47791441175.

Almost surely, 2^{2246197734144} is an apocalyptic number.

2246197734144 is a gapful number since it is divisible by the number (24) 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 2246197734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680240660480).

2246197734144 is an abundant number, since it is smaller than the sum of its proper divisors (7114283586816).

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

2246197734144 is a wasteful number, since it uses less digits than its factorization.

2246197734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 2246197734144 in words is "two trillion, two hundred forty-six billion, one hundred ninety-seven million, seven hundred thirty-four thousand, one hundred forty-four".