15451560449856 has 336 divisors, whose sum is σ = 46016516145600. Its totient is φ = 4953097175040.

The previous prime is 15451560449803. The next prime is 15451560449867. The reversal of 15451560449856 is 65894406515451.

It is a happy number.

15451560449856 is a `hidden beast` number, since 1 + 5 + 4 + 5 + 15 + 604 + 4 + 9 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15451560449793 and 15451560449802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023884871 + ... + 1023899961.

It is an arithmetic number, because the mean of its divisors is an integer number (136953917100).

Almost surely, 2^{15451560449856} is an apocalyptic number.

15451560449856 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 15451560449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008258072800).

15451560449856 is an abundant number, since it is smaller than the sum of its proper divisors (30564955695744).

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

15451560449856 is a wasteful number, since it uses less digits than its factorization.

15451560449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 15451560449856 in words is "fifteen trillion, four hundred fifty-one billion, five hundred sixty million, four hundred forty-nine thousand, eight hundred fifty-six".