216748067268096 has 480 divisors, whose sum is σ = 815195882749248. Its totient is φ = 53801716285440.

The previous prime is 216748067268067. The next prime is 216748067268137. The reversal of 216748067268096 is 690862760847612.

216748067268096 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 480 + 67 + 2 + 6 + 80 + 9 + 6 = 666.

It is a super-2 number, since 2×216748067268096² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8074185 + ... + 22331336.

Almost surely, 2^{216748067268096} is an apocalyptic number.

216748067268096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

216748067268096 is an abundant number, since it is smaller than the sum of its proper divisors (598447815481152).

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

216748067268096 is a wasteful number, since it uses less digits than its factorization.

216748067268096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30405582 (or 30405563 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 216748067268096 in words is "two hundred sixteen trillion, seven hundred forty-eight billion, sixty-seven million, two hundred sixty-eight thousand, ninety-six".