213450696648000 has 4032 divisors, whose sum is σ = 953341267507200. Its totient is φ = 44626725273600.

The previous prime is 213450696647977. The next prime is 213450696648011. The reversal of 213450696648000 is 846696054312.

213450696648000 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 506 + 96 + 6 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×213450696648000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 932099111886 + ... + 932099112114.

Almost surely, 2^{213450696648000} is an apocalyptic number.

213450696648000 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 213450696648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476670633753600).

213450696648000 is an abundant number, since it is smaller than the sum of its proper divisors (739890570859200).

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

213450696648000 is a wasteful number, since it uses less digits than its factorization.

213450696648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 213450696648000 in words is "two hundred thirteen trillion, four hundred fifty billion, six hundred ninety-six million, six hundred forty-eight thousand".