6106363198992 has 480 divisors, whose sum is σ = 20825942292480. Its totient is φ = 1633213808640.

The previous prime is 6106363198987. The next prime is 6106363199051. The reversal of 6106363198992 is 2998913636016.

6106363198992 is a `hidden beast` number, since 6 + 106 + 363 + 1 + 9 + 89 + 92 = 666.

It is a super-3 number, since 3×6106363198992³ (a number of 39 digits) contains 333 as substring.

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

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, 200003184 + ... + 200033712.

It is an arithmetic number, because the mean of its divisors is an integer number (43387379776).

Almost surely, 2^{6106363198992} is an apocalyptic number.

6106363198992 is a gapful number since it is divisible by the number (62) 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 6106363198992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412971146240).

6106363198992 is an abundant number, since it is smaller than the sum of its proper divisors (14719579093488).

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

6106363198992 is a wasteful number, since it uses less digits than its factorization.

6106363198992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30791 (or 30782 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 6106363198992 in words is "six trillion, one hundred six billion, three hundred sixty-three million, one hundred ninety-eight thousand, nine hundred ninety-two".