10088146944 has 336 divisors, whose sum is σ = 31420361700. Its totient is φ = 3232825344.

The previous prime is 10088146897. The next prime is 10088146949. The reversal of 10088146944 is 44964188001.

10088146944 is a `hidden beast` number, since 100 + 8 + 81 + 469 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9872409600 + 215737344 = 99360^2 + 14688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10088146944.

It is not an unprimeable number, because it can be changed into a prime (10088146949) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43296652 + ... + 43296884.

Almost surely, 2^10088146944 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 10088146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710180850).

10088146944 is an abundant number, since it is smaller than the sum of its proper divisors (21332214756).

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

10088146944 is an frugal number, since it uses more digits than its factorization.

10088146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10088146944 in words is "ten billion, eighty-eight million, one hundred forty-six thousand, nine hundred forty-four".