56947297164450 has 1152 divisors, whose sum is σ = 197495290920960. Its totient is φ = 10695343680000.

The previous prime is 56947297164449. The next prime is 56947297164451. The reversal of 56947297164450 is 5446179274965.

56947297164450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56947297164449) and next prime (56947297164451).

It is not an unprimeable number, because it can be changed into a prime (56947297164451) 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 575 ways as a sum of consecutive naturals, for example, 3381057729 + ... + 3381074571.

It is an arithmetic number, because the mean of its divisors is an integer number (171436884480).

Almost surely, 2^{56947297164450} is an apocalyptic number.

56947297164450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56947297164450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98747645460480).

56947297164450 is an abundant number, since it is smaller than the sum of its proper divisors (140547993756510).

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

56947297164450 is a wasteful number, since it uses less digits than its factorization.

56947297164450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17004 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 56947297164450 in words is "fifty-six trillion, nine hundred forty-seven billion, two hundred ninety-seven million, one hundred sixty-four thousand, four hundred fifty".