100848623616 has 448 divisors, whose sum is σ = 326501394240. Its totient is φ = 30958682112.

The previous prime is 100848623599. The next prime is 100848623621. The reversal of 100848623616 is 616326848001.

100848623616 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 8 + 6 + 23 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232906536 + ... + 232906968.

It is an arithmetic number, because the mean of its divisors is an integer number (728797755).

Almost surely, 2^100848623616 is an apocalyptic number.

100848623616 is a gapful number since it is divisible by the number (16) 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 100848623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163250697120).

100848623616 is an abundant number, since it is smaller than the sum of its proper divisors (225652770624).

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

100848623616 is an frugal number, since it uses more digits than its factorization.

100848623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 100848623616 in words is "one hundred billion, eight hundred forty-eight million, six hundred twenty-three thousand, six hundred sixteen".