2146827691008 has 2464 divisors, whose sum is σ = 9201501469440. Its totient is φ = 484446044160.

The previous prime is 2146827690967. The next prime is 2146827691031. The reversal of 2146827691008 is 8001967286412.

It is a happy number.

2146827691008 is a `hidden beast` number, since 2 + 1 + 468 + 2 + 76 + 9 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 126283981816 + ... + 126283981832.

Almost surely, 2^{2146827691008} is an apocalyptic number.

2146827691008 is a gapful number since it is divisible by the number (28) 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 2146827691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600750734720).

2146827691008 is an abundant number, since it is smaller than the sum of its proper divisors (7054673778432).

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

2146827691008 is an equidigital number, since it uses as much as digits as its factorization.

2146827691008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2146827691008 in words is "two trillion, one hundred forty-six billion, eight hundred twenty-seven million, six hundred ninety-one thousand, eight".