216360458487936 has 1792 divisors, whose sum is σ = 791782490880000. Its totient is φ = 57459958972416.

The previous prime is 216360458487893. The next prime is 216360458487959. The reversal of 216360458487936 is 639784854063612.

It is a happy number.

216360458487936 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 6 + 0 + 4 + 58 + 487 + 93 + 6 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 395540143215 + ... + 395540143761.

It is a 2-persistent number, because it is pandigital, and so is 2⋅216360458487936 = 432720916975872, but 3⋅216360458487936 = 649081375463808 is not.

Almost surely, 2^{216360458487936} 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 216360458487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395891245440000).

216360458487936 is an abundant number, since it is smaller than the sum of its proper divisors (575422032392064).

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

216360458487936 is a wasteful number, since it uses less digits than its factorization.

216360458487936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 216360458487936 in words is "two hundred sixteen trillion, three hundred sixty billion, four hundred fifty-eight million, four hundred eighty-seven thousand, nine hundred thirty-six".