101370080448 has 1344 divisors, whose sum is σ = 406681228800. Its totient is φ = 24455208960.

The previous prime is 101370080401. The next prime is 101370080473. The reversal of 101370080448 is 844080073101.

101370080448 is a `hidden beast` number, since 1 + 0 + 137 + 0 + 0 + 80 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773817343 + ... + 773817473.

It is an arithmetic number, because the mean of its divisors is an integer number (302590200).

Almost surely, 2^101370080448 is an apocalyptic number.

101370080448 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 101370080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203340614400).

101370080448 is an abundant number, since it is smaller than the sum of its proper divisors (305311148352).

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

101370080448 is a wasteful number, since it uses less digits than its factorization.

101370080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 101370080448 in words is "one hundred one billion, three hundred seventy million, eighty thousand, four hundred forty-eight".