101819165448 has 384 divisors, whose sum is σ = 359113789440. Its totient is φ = 23623488000.

The previous prime is 101819165401. The next prime is 101819165477. The reversal of 101819165448 is 844561918101.

101819165448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101819165397 and 101819165406.

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, 5203443 + ... + 5222973.

It is an arithmetic number, because the mean of its divisors is an integer number (935192160).

Almost surely, 2^101819165448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101819165448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179556894720).

101819165448 is an abundant number, since it is smaller than the sum of its proper divisors (257294623992).

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

101819165448 is a wasteful number, since it uses less digits than its factorization.

101819165448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19609 (or 19598 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 101819165448 in words is "one hundred one billion, eight hundred nineteen million, one hundred sixty-five thousand, four hundred forty-eight".