10246283424 has 216 divisors, whose sum is σ = 31812292512. Its totient is φ = 3126689280.

The previous prime is 10246283413. The next prime is 10246283449. The reversal of 10246283424 is 42438264201.

10246283424 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 628 + 3 + 4 + 24 = 666.

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 35 ways as a sum of consecutive naturals, for example, 6375229 + ... + 6376835.

It is an arithmetic number, because the mean of its divisors is an integer number (147279132).

Almost surely, 2^10246283424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10246283424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906146256).

10246283424 is an abundant number, since it is smaller than the sum of its proper divisors (21566009088).

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

10246283424 is a wasteful number, since it uses less digits than its factorization.

10246283424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10246283424 in words is "ten billion, two hundred forty-six million, two hundred eighty-three thousand, four hundred twenty-four".