24947987081616 has 225 divisors, whose sum is σ = 73762531467729. Its totient is φ = 7871478829056.

The previous prime is 24947987081587. The next prime is 24947987081629. The reversal of 24947987081616 is 61618078974942.

The square root of 24947987081616 is 4994796.

It is a perfect power (a square), and thus also a powerful number.

24947987081616 is a `hidden beast` number, since 2 + 4 + 9 + 479 + 8 + 70 + 81 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19716264090000 + 5231722991616 = 4440300^2 + 2287296^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21637455696 + ... + 21637456848.

Almost surely, 2^{24947987081616} is an apocalyptic number.

24947987081616 is the 4994796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24947987081616

24947987081616 is an abundant number, since it is smaller than the sum of its proper divisors (48814544386113).

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

24947987081616 is an frugal number, since it uses more digits than its factorization.

24947987081616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 24947987081616 in words is "twenty-four trillion, nine hundred forty-seven billion, nine hundred eighty-seven million, eighty-one thousand, six hundred sixteen".