10483818121728 has 960 divisors, whose sum is σ = 36846954144000. Its totient is φ = 2933788999680.

The previous prime is 10483818121649. The next prime is 10483818121741. The reversal of 10483818121728 is 82712181838401.

10483818121728 is a `hidden beast` number, since 1 + 0 + 48 + 381 + 8 + 1 + 217 + 2 + 8 = 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 95 ways as a sum of consecutive naturals, for example, 14420657301 + ... + 14420658027.

It is an arithmetic number, because the mean of its divisors is an integer number (38382243900).

Almost surely, 2^{10483818121728} is an apocalyptic number.

10483818121728 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 10483818121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423477072000).

10483818121728 is an abundant number, since it is smaller than the sum of its proper divisors (26363136022272).

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

10483818121728 is an equidigital number, since it uses as much as digits as its factorization.

10483818121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 10483818121728 in words is "ten trillion, four hundred eighty-three billion, eight hundred eighteen million, one hundred twenty-one thousand, seven hundred twenty-eight".