10211346432 has 768 divisors, whose sum is σ = 38242713600. Its totient is φ = 2627665920.

The previous prime is 10211346421. The next prime is 10211346433. The reversal of 10211346432 is 23464311201.

It is a happy number.

10211346432 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 13 + 4 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10211346396 and 10211346405.

It is not an unprimeable number, because it can be changed into a prime (10211346433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275982318 + ... + 275982354.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 2^10211346432 is an apocalyptic number.

10211346432 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 10211346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

10211346432 is an abundant number, since it is smaller than the sum of its proper divisors (28031367168).

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

10211346432 is a wasteful number, since it uses less digits than its factorization.

10211346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10211346432 its reverse (23464311201), we get a palindrome (33675657633).

The spelling of 10211346432 in words is "ten billion, two hundred eleven million, three hundred forty-six thousand, four hundred thirty-two".