100044780883488 has 768 divisors, whose sum is σ = 344878853760000. Its totient is φ = 28551926753280.

The previous prime is 100044780883469. The next prime is 100044780883529. The reversal of 100044780883488 is 884388087440001.

100044780883488 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 4 + 78 + 0 + 8 + 83 + 488 = 666.

100044780883488 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100044780883488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28349326908 + ... + 28349330436.

It is an arithmetic number, because the mean of its divisors is an integer number (449061007500).

Almost surely, 2^{100044780883488} is an apocalyptic number.

100044780883488 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 100044780883488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172439426880000).

100044780883488 is an abundant number, since it is smaller than the sum of its proper divisors (244834072876512).

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

100044780883488 is an frugal number, since it uses more digits than its factorization.

100044780883488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 100044780883488 in words is "one hundred trillion, forty-four billion, seven hundred eighty million, eight hundred eighty-three thousand, four hundred eighty-eight".