4992165623808 has 1152 divisors, whose sum is σ = 17583597158400. Its totient is φ = 1399232102400.

The previous prime is 4992165623807. The next prime is 4992165623891. The reversal of 4992165623808 is 8083265612994.

4992165623808 is a `hidden beast` number, since 4 + 9 + 92 + 165 + 6 + 2 + 380 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992165623807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3903178113 + ... + 3903179391.

It is an arithmetic number, because the mean of its divisors is an integer number (15263539200).

Almost surely, 2^{4992165623808} is an apocalyptic number.

4992165623808 is a gapful number since it is divisible by the number (48) 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 4992165623808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791798579200).

4992165623808 is an abundant number, since it is smaller than the sum of its proper divisors (12591431534592).

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

4992165623808 is a wasteful number, since it uses less digits than its factorization.

4992165623808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4992165623808 in words is "four trillion, nine hundred ninety-two billion, one hundred sixty-five million, six hundred twenty-three thousand, eight hundred eight".