15738923264064 has 1008 divisors, whose sum is σ = 56831853173760. Its totient is φ = 3761120563200.

The previous prime is 15738923263981. The next prime is 15738923264087. The reversal of 15738923264064 is 46046232983751.

It is a junction number, because it is equal to n+sod(n) for n = 15738923263989 and 15738923264007.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10416229069 + ... + 10416230579.

It is an arithmetic number, because the mean of its divisors is an integer number (56380806720).

It is a 1-persistent number, because it is pandigital, but 2⋅15738923264064 = 31477846528128 is not.

Almost surely, 2^{15738923264064} is an apocalyptic number.

15738923264064 is a gapful number since it is divisible by the number (14) 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 15738923264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28415926586880).

15738923264064 is an abundant number, since it is smaller than the sum of its proper divisors (41092929909696).

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

15738923264064 is a wasteful number, since it uses less digits than its factorization.

15738923264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 15738923264064 in words is "fifteen trillion, seven hundred thirty-eight billion, nine hundred twenty-three million, two hundred sixty-four thousand, sixty-four".