192801379977216 has 240 divisors, whose sum is σ = 576319845121020. Its totient is φ = 64218403307520.

The previous prime is 192801379977209. The next prime is 192801379977259. The reversal of 192801379977216 is 612779973108291.

192801379977216 is a `hidden beast` number, since 1 + 92 + 8 + 0 + 1 + 379 + 97 + 72 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134487996834816 + 58313383142400 = 11596896^2 + 7636320^2 .

It is a super-2 number, since 2×192801379977216² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 218698140 + ... + 219577956.

Almost surely, 2^{192801379977216} is an apocalyptic number.

192801379977216 is a gapful number since it is divisible by the number (16) 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 192801379977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288159922560510).

192801379977216 is an abundant number, since it is smaller than the sum of its proper divisors (383518465143804).

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

192801379977216 is an equidigital number, since it uses as much as digits as its factorization.

192801379977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881172 (or 881143 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 72.

The spelling of 192801379977216 in words is "one hundred ninety-two trillion, eight hundred one billion, three hundred seventy-nine million, nine hundred seventy-seven thousand, two hundred sixteen".