10245421246144 has 112 divisors (see below), whose sum is σ = 23377218216768. Its totient is φ = 4364064534528.

The previous prime is 10245421246087. The next prime is 10245421246201. The reversal of 10245421246144 is 44164212454201.

It is an interprime number because it is at equal distance from previous prime (10245421246087) and next prime (10245421246201).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10245421246097 and 10245421246106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252100194 + ... + 252140830.

Almost surely, 2^{10245421246144} is an apocalyptic number.

10245421246144 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 10245421246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688609108384).

10245421246144 is an abundant number, since it is smaller than the sum of its proper divisors (13131796970624).

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

10245421246144 is a wasteful number, since it uses less digits than its factorization.

10245421246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44082 (or 44072 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 10245421246144 in words is "ten trillion, two hundred forty-five billion, four hundred twenty-one million, two hundred forty-six thousand, one hundred forty-four".