10921345632 has 288 divisors, whose sum is σ = 34690166784. Its totient is φ = 3243110400.

The previous prime is 10921345517. The next prime is 10921345651. The reversal of 10921345632 is 23654312901.

10921345632 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 13 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 7132707 + ... + 7134237.

It is an arithmetic number, because the mean of its divisors is an integer number (120451968).

Almost surely, 2^10921345632 is an apocalyptic number.

10921345632 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 10921345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345083392).

10921345632 is an abundant number, since it is smaller than the sum of its proper divisors (23768821152).

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

10921345632 is a wasteful number, since it uses less digits than its factorization.

10921345632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10921345632 in words is "ten billion, nine hundred twenty-one million, three hundred forty-five thousand, six hundred thirty-two".