10251448112556 has 384 divisors, whose sum is σ = 31126596300800. Its totient is φ = 2857631477760.

The previous prime is 10251448112539. The next prime is 10251448112557. The reversal of 10251448112556 is 65521184415201.

It is a happy number.

10251448112556 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 4 + 4 + 81 + 12 + 556 = 666.

It is not an unprimeable number, because it can be changed into a prime (10251448112557) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1536254436 + ... + 1536261108.

Almost surely, 2^{10251448112556} 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 10251448112556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563298150400).

10251448112556 is an abundant number, since it is smaller than the sum of its proper divisors (20875148188244).

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

10251448112556 is a wasteful number, since it uses less digits than its factorization.

10251448112556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 10251448112556 in words is "ten trillion, two hundred fifty-one billion, four hundred forty-eight million, one hundred twelve thousand, five hundred fifty-six".