10281148416000 has 1632 divisors, whose sum is σ = 46238526936576. Its totient is φ = 2135162880000.

The previous prime is 10281148415977. The next prime is 10281148416043. The reversal of 10281148416000 is 61484118201.

10281148416000 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 1 + 1 + 4 + 8 + 41 + 600 + 0 = 666.

It is a super-4 number, since 4×10281148416000⁴ (a number of 53 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5677055095 + ... + 5677056905.

Almost surely, 2^{10281148416000} is an apocalyptic number.

10281148416000 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 10281148416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23119263468288).

10281148416000 is an abundant number, since it is smaller than the sum of its proper divisors (35957378520576).

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

10281148416000 is an equidigital number, since it uses as much as digits as its factorization.

10281148416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10281148416000 in words is "ten trillion, two hundred eighty-one billion, one hundred forty-eight million, four hundred sixteen thousand".