216142007796 has 192 divisors, whose sum is σ = 660493532160. Its totient is φ = 60261045120.

The previous prime is 216142007773. The next prime is 216142007797. The reversal of 216142007796 is 697700241612.

216142007796 is a `hidden beast` number, since 2 + 1 + 614 + 20 + 0 + 7 + 7 + 9 + 6 = 666.

It is a super-2 number, since 2×216142007796² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216142007797) 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, 4718515 + ... + 4764101.

It is an arithmetic number, because the mean of its divisors is an integer number (3440070480).

Almost surely, 2^216142007796 is an apocalyptic number.

216142007796 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 216142007796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330246766080).

216142007796 is an abundant number, since it is smaller than the sum of its proper divisors (444351524364).

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

216142007796 is a wasteful number, since it uses less digits than its factorization.

216142007796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45931 (or 45923 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 216142007796 in words is "two hundred sixteen billion, one hundred forty-two million, seven thousand, seven hundred ninety-six".