10446402322152 has 192 divisors, whose sum is σ = 29146317642000. Its totient is φ = 3377621237760.

The previous prime is 10446402322121. The next prime is 10446402322177. The reversal of 10446402322152 is 25122320464401.

10446402322152 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 402 + 32 + 215 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9598260787236 + 848141534916 = 3098106^2 + 920946^2 .

It is a super-2 number, since 2×10446402322152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1771474468 + ... + 1771480364.

Almost surely, 2^{10446402322152} is an apocalyptic number.

10446402322152 is a gapful number since it is divisible by the number (12) 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 10446402322152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573158821000).

10446402322152 is an abundant number, since it is smaller than the sum of its proper divisors (18699915319848).

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

10446402322152 is a wasteful number, since it uses less digits than its factorization.

10446402322152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10446402322152 its reverse (25122320464401), we get a palindrome (35568722786553).

The spelling of 10446402322152 in words is "ten trillion, four hundred forty-six billion, four hundred two million, three hundred twenty-two thousand, one hundred fifty-two".