216970657344 has 448 divisors, whose sum is σ = 737379962880. Its totient is φ = 61282344960.

The previous prime is 216970657279. The next prime is 216970657367. The reversal of 216970657344 is 443756079612.

216970657344 is a `hidden beast` number, since 2 + 1 + 69 + 7 + 0 + 6 + 573 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×216970657344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 766680627 + ... + 766680909.

Almost surely, 2^216970657344 is an apocalyptic number.

216970657344 is a gapful number since it is divisible by the number (24) 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 216970657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368689981440).

216970657344 is an abundant number, since it is smaller than the sum of its proper divisors (520409305536).

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

216970657344 is a wasteful number, since it uses less digits than its factorization.

216970657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 216970657344 in words is "two hundred sixteen billion, nine hundred seventy million, six hundred fifty-seven thousand, three hundred forty-four".