56145555648 has 560 divisors, whose sum is σ = 216921063744. Its totient is φ = 13934592000.

The previous prime is 56145555643. The next prime is 56145555659. The reversal of 56145555648 is 84655554165.

56145555648 is a `hidden beast` number, since 5 + 6 + 1 + 45 + 5 + 556 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56145555594 and 56145555603.

It is not an unprimeable number, because it can be changed into a prime (56145555643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8016148 + ... + 8023148.

Almost surely, 2^56145555648 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 56145555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108460531872).

56145555648 is an abundant number, since it is smaller than the sum of its proper divisors (160775508096).

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

56145555648 is a wasteful number, since it uses less digits than its factorization.

56145555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7043 counting only the distinct ones).

The product of its digits is 14400000, while the sum is 54.

The spelling of 56145555648 in words is "fifty-six billion, one hundred forty-five million, five hundred fifty-five thousand, six hundred forty-eight".