101748619320480 has 960 divisors, whose sum is σ = 396536516893440. Its totient is φ = 24364965888000.

The previous prime is 101748619320479. The next prime is 101748619320521. The reversal of 101748619320480 is 84023916847101.

101748619320480 is a `hidden beast` number, since 1 + 0 + 1 + 74 + 8 + 6 + 1 + 93 + 2 + 0 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6320959792 + ... + 6320975888.

It is an arithmetic number, because the mean of its divisors is an integer number (413058871764).

Almost surely, 2^{101748619320480} is an apocalyptic number.

101748619320480 is a gapful number since it is divisible by the number (10) 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 101748619320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198268258446720).

101748619320480 is an abundant number, since it is smaller than the sum of its proper divisors (294787897572960).

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

101748619320480 is a wasteful number, since it uses less digits than its factorization.

101748619320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16675 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 101748619320480 in words is "one hundred one trillion, seven hundred forty-eight billion, six hundred nineteen million, three hundred twenty thousand, four hundred eighty".