216701302752 has 384 divisors, whose sum is σ = 745622599680. Its totient is φ = 60487188480.

The previous prime is 216701302739. The next prime is 216701302759. The reversal of 216701302752 is 257203107612.

216701302752 is a `hidden beast` number, since 216 + 70 + 1 + 302 + 75 + 2 = 666.

It is a super-2 number, since 2×216701302752² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216701302759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7579428 + ... + 7607964.

It is an arithmetic number, because the mean of its divisors is an integer number (1941725520).

Almost surely, 2^216701302752 is an apocalyptic number.

216701302752 is a gapful number since it is divisible by the number (22) 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 216701302752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372811299840).

216701302752 is an abundant number, since it is smaller than the sum of its proper divisors (528921296928).

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

216701302752 is a wasteful number, since it uses less digits than its factorization.

216701302752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28631 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 216701302752 in words is "two hundred sixteen billion, seven hundred one million, three hundred two thousand, seven hundred fifty-two".