56488688465 has 48 divisors (see below), whose sum is σ = 75153795024. Its totient is φ = 40728821760.

The previous prime is 56488688437. The next prime is 56488688479.

It is a happy number.

56488688465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1818766609 + 54669921856 = 42647^2 + 233816^2 .

It is not a de Polignac number, because 56488688465 - 2¹⁶ = 56488622929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56488688395 and 56488688404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43552697 + ... + 43553993.

It is an arithmetic number, because the mean of its divisors is an integer number (1565704063).

Almost surely, 2^56488688465 is an apocalyptic number.

56488688465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56488688465 is a deficient number, since it is larger than the sum of its proper divisors (18665106559).

56488688465 is a wasteful number, since it uses less digits than its factorization.

56488688465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1879 counting only the distinct ones).

The product of its digits is 353894400, while the sum is 68.

The spelling of 56488688465 in words is "fifty-six billion, four hundred eighty-eight million, six hundred eighty-eight thousand, four hundred sixty-five".