56049633290448 has 180 divisors, whose sum is σ = 182534159136420. Its totient is φ = 16008647251968.

The previous prime is 56049633290419. The next prime is 56049633290507. The reversal of 56049633290448 is 84409233694065.

56049633290448 is a `hidden beast` number, since 5 + 6 + 0 + 49 + 63 + 3 + 2 + 90 + 448 = 666.

56049633290448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11186536458384 + 44863096832064 = 3344628^2 + 6697992^2 .

It is a super-3 number, since 3×56049633290448³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19070238 + ... + 21812226.

It is an arithmetic number, because the mean of its divisors is an integer number (1014078661869).

Almost surely, 2^{56049633290448} 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 56049633290448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91267079568210).

56049633290448 is an abundant number, since it is smaller than the sum of its proper divisors (126484525845972).

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

56049633290448 is a wasteful number, since it uses less digits than its factorization.

56049633290448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744914 (or 2744898 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 56049633290448 in words is "fifty-six trillion, forty-nine billion, six hundred thirty-three million, two hundred ninety thousand, four hundred forty-eight".