2146493232000 has 1536 divisors, whose sum is σ = 9044158032000. Its totient is φ = 483065856000.

The previous prime is 2146493231969. The next prime is 2146493232071. The reversal of 2146493232000 is 2323946412.

2146493232000 is a `hidden beast` number, since 2 + 1 + 4 + 649 + 3 + 2 + 3 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1031470960 + ... + 1031473040.

Almost surely, 2^{2146493232000} is an apocalyptic number.

2146493232000 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 2146493232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522079016000).

2146493232000 is an abundant number, since it is smaller than the sum of its proper divisors (6897664800000).

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

2146493232000 is a wasteful number, since it uses less digits than its factorization.

2146493232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2146493232000 in words is "two trillion, one hundred forty-six billion, four hundred ninety-three million, two hundred thirty-two thousand".