56094749248032 has 864 divisors, whose sum is σ = 183255516990000. Its totient is φ = 16243949568000.

The previous prime is 56094749247989. The next prime is 56094749248051. The reversal of 56094749248032 is 23084294749065.

56094749248032 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 474 + 92 + 48 + 0 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17845521564816 + 38249227683216 = 4224396^2 + 6184596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60381860944 + ... + 60381861872.

Almost surely, 2^{56094749248032} 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 56094749248032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91627758495000).

56094749248032 is an abundant number, since it is smaller than the sum of its proper divisors (127160767741968).

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

56094749248032 is a wasteful number, since it uses less digits than its factorization.

56094749248032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 56094749248032 in words is "fifty-six trillion, ninety-four billion, seven hundred forty-nine million, two hundred forty-eight thousand, thirty-two".