106631461698048 has 480 divisors, whose sum is σ = 367287087657600. Its totient is φ = 30456336089088.

The previous prime is 106631461698037. The next prime is 106631461698071. The reversal of 106631461698048 is 840896164136601.

It is a happy number.

106631461698048 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 1 + 4 + 616 + 9 + 8 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×106631461698048² (a number of 29 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 2254961061 + ... + 2255008347.

It is an arithmetic number, because the mean of its divisors is an integer number (765181432620).

Almost surely, 2^{106631461698048} is an apocalyptic number.

106631461698048 is a gapful number since it is divisible by the number (18) 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 106631461698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183643543828800).

106631461698048 is an abundant number, since it is smaller than the sum of its proper divisors (260655625959552).

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

106631461698048 is an equidigital number, since it uses as much as digits as its factorization.

106631461698048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50657 (or 50628 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 106631461698048 in words is "one hundred six trillion, six hundred thirty-one billion, four hundred sixty-one million, six hundred ninety-eight thousand, forty-eight".