10093672016748 has 192 divisors, whose sum is σ = 27962952192000. Its totient is φ = 3141826541568.

The previous prime is 10093672016731. The next prime is 10093672016783. The reversal of 10093672016748 is 84761027639001.

10093672016748 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 367 + 201 + 6 + 74 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10093672016694 and 10093672016703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17176036 + ... + 17753972.

It is an arithmetic number, because the mean of its divisors is an integer number (145640376000).

Almost surely, 2^{10093672016748} is an apocalyptic number.

10093672016748 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 10093672016748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981476096000).

10093672016748 is an abundant number, since it is smaller than the sum of its proper divisors (17869280175252).

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

10093672016748 is a wasteful number, since it uses less digits than its factorization.

10093672016748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578141 (or 578133 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10093672016748 in words is "ten trillion, ninety-three billion, six hundred seventy-two million, sixteen thousand, seven hundred forty-eight".