2148466396896 has 576 divisors, whose sum is σ = 6917993671680. Its totient is φ = 628450099200.

The previous prime is 2148466396889. The next prime is 2148466396907. The reversal of 2148466396896 is 6986936648412.

2148466396896 is a `hidden beast` number, since 2 + 1 + 48 + 466 + 39 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3574818996 + ... + 3574819596.

It is an arithmetic number, because the mean of its divisors is an integer number (12010405680).

Almost surely, 2^{2148466396896} 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 2148466396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458996835840).

2148466396896 is an abundant number, since it is smaller than the sum of its proper divisors (4769527274784).

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

2148466396896 is a wasteful number, since it uses less digits than its factorization.

2148466396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 2148466396896 in words is "two trillion, one hundred forty-eight billion, four hundred sixty-six million, three hundred ninety-six thousand, eight hundred ninety-six".