216478246846400 has 168 divisors, whose sum is σ = 664110279209856. Its totient is φ = 67473739238400.

The previous prime is 216478246846399. The next prime is 216478246846403. The reversal of 216478246846400 is 4648642874612.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216478246846403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878441114 + ... + 878687513.

Almost surely, 2^{216478246846400} is an apocalyptic number.

216478246846400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216478246846400 is an abundant number, since it is smaller than the sum of its proper divisors (447632032363456).

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

216478246846400 is a wasteful number, since it uses less digits than its factorization.

216478246846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757128667 (or 1757128652 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 62.

The spelling of 216478246846400 in words is "two hundred sixteen trillion, four hundred seventy-eight billion, two hundred forty-six million, eight hundred forty-six thousand, four hundred".