101781660008448 has 896 divisors, whose sum is σ = 358249629695040. Its totient is φ = 28292795596800.

The previous prime is 101781660008429. The next prime is 101781660008453. The reversal of 101781660008448 is 844800066187101.

101781660008448 is a `hidden beast` number, since 1 + 0 + 17 + 8 + 16 + 600 + 0 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101781660008394 and 101781660008403.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6186950623 + ... + 6186967073.

Almost surely, 2^{101781660008448} is an apocalyptic number.

101781660008448 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 101781660008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179124814847520).

101781660008448 is an abundant number, since it is smaller than the sum of its proper divisors (256467969686592).

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

101781660008448 is an frugal number, since it uses more digits than its factorization.

101781660008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16543 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 101781660008448 in words is "one hundred one trillion, seven hundred eighty-one billion, six hundred sixty million, eight thousand, four hundred forty-eight".