216397149696 has 960 divisors, whose sum is σ = 819172569600. Its totient is φ = 54922199040.

The previous prime is 216397149671. The next prime is 216397149707. The reversal of 216397149696 is 696941793612.

216397149696 is a `hidden beast` number, since 2 + 16 + 397 + 149 + 6 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (26453952) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1208922535 + ... + 1208922713.

It is an arithmetic number, because the mean of its divisors is an integer number (853304760).

Almost surely, 2^216397149696 is an apocalyptic number.

216397149696 is a gapful number since it is divisible by the number (26) 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 216397149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409586284800).

216397149696 is an abundant number, since it is smaller than the sum of its proper divisors (602775419904).

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

216397149696 is a wasteful number, since it uses less digits than its factorization.

216397149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 235 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 216397149696 in words is "two hundred sixteen billion, three hundred ninety-seven million, one hundred forty-nine thousand, six hundred ninety-six".