56697227149248 has 1792 divisors, whose sum is σ = 209045007360000. Its totient is φ = 15027212648448.

The previous prime is 56697227149247. The next prime is 56697227149327. The reversal of 56697227149248 is 84294172279665.

56697227149248 is a `hidden beast` number, since 5 + 6 + 6 + 9 + 7 + 22 + 71 + 492 + 48 = 666.

56697227149248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (731566080) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56697227149247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70083098668 + ... + 70083099476.

It is an arithmetic number, because the mean of its divisors is an integer number (116654580000).

Almost surely, 2^{56697227149248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56697227149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104522503680000).

56697227149248 is an abundant number, since it is smaller than the sum of its proper divisors (152347780210752).

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

56697227149248 is a wasteful number, since it uses less digits than its factorization.

56697227149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 994 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 56697227149248 in words is "fifty-six trillion, six hundred ninety-seven billion, two hundred twenty-seven million, one hundred forty-nine thousand, two hundred forty-eight".