10000094146432 has 128 divisors (see below), whose sum is σ = 21732999321600. Its totient is φ = 4555559024640.

The previous prime is 10000094146423. The next prime is 10000094146541. The reversal of 10000094146432 is 23464149000001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489926307 + ... + 489946717.

It is an arithmetic number, because the mean of its divisors is an integer number (169789057200).

Almost surely, 2^{10000094146432} 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 10000094146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866499660800).

10000094146432 is an abundant number, since it is smaller than the sum of its proper divisors (11732905175168).

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

10000094146432 is a wasteful number, since it uses less digits than its factorization.

10000094146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24244 (or 24232 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10000094146432 in words is "ten trillion, ninety-four million, one hundred forty-six thousand, four hundred thirty-two".