10246052454144 has 576 divisors, whose sum is σ = 30172316643840. Its totient is φ = 3067653980160.

The previous prime is 10246052454119. The next prime is 10246052454151. The reversal of 10246052454144 is 44145425064201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10246052454096 and 10246052454105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32321931874 + ... + 32321932190.

Almost surely, 2^{10246052454144} 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 10246052454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086158321920).

10246052454144 is an abundant number, since it is smaller than the sum of its proper divisors (19926264189696).

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

10246052454144 is a wasteful number, since it uses less digits than its factorization.

10246052454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 10246052454144 in words is "ten trillion, two hundred forty-six billion, fifty-two million, four hundred fifty-four thousand, one hundred forty-four".