10319654016 has 672 divisors, whose sum is σ = 37429194780. Its totient is φ = 2821754880.

The previous prime is 10319654011. The next prime is 10319654017. The reversal of 10319654016 is 61045691301.

10319654016 is a `hidden beast` number, since 10 + 3 + 1 + 96 + 540 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10262500416 + 57153600 = 101304^2 + 7560^2 .

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 not an unprimeable number, because it can be changed into a prime (10319654011) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 169174626 + ... + 169174686.

Almost surely, 2^10319654016 is an apocalyptic number.

10319654016 is a gapful number since it is divisible by the number (16) 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 10319654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714597390).

10319654016 is an abundant number, since it is smaller than the sum of its proper divisors (27109540764).

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

10319654016 is an frugal number, since it uses more digits than its factorization.

10319654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10319654016 in words is "ten billion, three hundred nineteen million, six hundred fifty-four thousand, sixteen".