10723914432 has 672 divisors, whose sum is σ = 42030213120. Its totient is φ = 2615500800.

The previous prime is 10723914419. The next prime is 10723914491. The reversal of 10723914432 is 23441932701.

It is a happy number.

10723914432 is a `hidden beast` number, since 107 + 23 + 91 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 24881257 + ... + 24881687.

It is an arithmetic number, because the mean of its divisors is an integer number (62544960).

Almost surely, 2^10723914432 is an apocalyptic number.

10723914432 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 10723914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015106560).

10723914432 is an abundant number, since it is smaller than the sum of its proper divisors (31306298688).

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

10723914432 is a wasteful number, since it uses less digits than its factorization.

10723914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10723914432 in words is "ten billion, seven hundred twenty-three million, nine hundred fourteen thousand, four hundred thirty-two".