216770331423744 has 1408 divisors, whose sum is σ = 779659001856000. Its totient is φ = 58117830967296.

The previous prime is 216770331423731. The next prime is 216770331423827. The reversal of 216770331423744 is 447324133077612.

216770331423744 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 70 + 331 + 4 + 237 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301488638617 + ... + 301488639335.

Almost surely, 2^{216770331423744} is an apocalyptic number.

216770331423744 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 216770331423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389829500928000).

216770331423744 is an abundant number, since it is smaller than the sum of its proper divisors (562888670432256).

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

216770331423744 is a wasteful number, since it uses less digits than its factorization.

216770331423744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 216770331423744 in words is "two hundred sixteen trillion, seven hundred seventy billion, three hundred thirty-one million, four hundred twenty-three thousand, seven hundred forty-four".