10248858144 has 288 divisors, whose sum is σ = 35286451200. Its totient is φ = 2758288896.

The previous prime is 10248858133. The next prime is 10248858181. The reversal of 10248858144 is 44185884201.

10248858144 is a `hidden beast` number, since 1 + 0 + 24 + 8 + 8 + 581 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×10248858144⁴ (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10248858144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3105007 + ... + 3108305.

It is an arithmetic number, because the mean of its divisors is an integer number (122522400).

Almost surely, 2^10248858144 is an apocalyptic number.

10248858144 is a gapful number since it is divisible by the number (14) 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 10248858144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643225600).

10248858144 is an abundant number, since it is smaller than the sum of its proper divisors (25037593056).

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

10248858144 is a wasteful number, since it uses less digits than its factorization.

10248858144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 10248858144 in words is "ten billion, two hundred forty-eight million, eight hundred fifty-eight thousand, one hundred forty-four".