101620849606848 has 1344 divisors, whose sum is σ = 364113962956800. Its totient is φ = 27940053841920.

The previous prime is 101620849606823. The next prime is 101620849606853. The reversal of 101620849606848 is 848606948026101.

101620849606848 is a `hidden beast` number, since 1 + 0 + 1 + 62 + 0 + 8 + 496 + 0 + 6 + 84 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12990006265 + ... + 12990014087.

It is an arithmetic number, because the mean of its divisors is an integer number (270918127200).

Almost surely, 2^{101620849606848} is an apocalyptic number.

101620849606848 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 101620849606848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182056981478400).

101620849606848 is an abundant number, since it is smaller than the sum of its proper divisors (262493113349952).

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

101620849606848 is an equidigital number, since it uses as much as digits as its factorization.

101620849606848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 101620849606848 in words is "one hundred one trillion, six hundred twenty billion, eight hundred forty-nine million, six hundred six thousand, eight hundred forty-eight".