2133463449600 has 2160 divisors, whose sum is σ = 9486219509760. Its totient is φ = 468202291200.

The previous prime is 2133463449599. The next prime is 2133463449653. The reversal of 2133463449600 is 69443643312.

2133463449600 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 6 + 34 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16798924737 + ... + 16798924863.

Almost surely, 2^{2133463449600} is an apocalyptic number.

2133463449600 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 2133463449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743109754880).

2133463449600 is an abundant number, since it is smaller than the sum of its proper divisors (7352756060160).

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

2133463449600 is a wasteful number, since it uses less digits than its factorization.

2133463449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2133463449600 in words is "two trillion, one hundred thirty-three billion, four hundred sixty-three million, four hundred forty-nine thousand, six hundred".