216634300945920 has 5760 divisors, whose sum is σ = 972759589401600. Its totient is φ = 44144787456000.

The previous prime is 216634300945919. The next prime is 216634300946111. The reversal of 216634300945920 is 29549003436612.

216634300945920 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 3 + 43 + 0 + 0 + 9 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1987470650826 + ... + 1987470650934.

It is an arithmetic number, because the mean of its divisors is an integer number (168881873160).

Almost surely, 2^{216634300945920} is an apocalyptic number.

216634300945920 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 216634300945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486379794700800).

216634300945920 is an abundant number, since it is smaller than the sum of its proper divisors (756125288455680).

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

216634300945920 is a wasteful number, since it uses less digits than its factorization.

216634300945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 216634300945920 in words is "two hundred sixteen trillion, six hundred thirty-four billion, three hundred million, nine hundred forty-five thousand, nine hundred twenty".