101812383648 has 240 divisors, whose sum is σ = 330828442560. Its totient is φ = 30552090624.

The previous prime is 101812383637. The next prime is 101812383683. The reversal of 101812383648 is 846383218101.

It is a super-3 number, since 3×101812383648³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 963243 + ... + 1063701.

It is an arithmetic number, because the mean of its divisors is an integer number (1378451844).

Almost surely, 2^101812383648 is an apocalyptic number.

101812383648 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 101812383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165414221280).

101812383648 is an abundant number, since it is smaller than the sum of its proper divisors (229016058912).

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

101812383648 is a wasteful number, since it uses less digits than its factorization.

101812383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100521 (or 100504 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 101812383648 in words is "one hundred one billion, eight hundred twelve million, three hundred eighty-three thousand, six hundred forty-eight".