59641454656 has 147 divisors (see below), whose sum is σ = 139644860029. Its totient is φ = 25273425408.

The previous prime is 59641454641. The next prime is 59641454657. The reversal of 59641454656 is 65645414695.

It is a happy number.

The square root of 59641454656 is 244216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11452424256 + 48189030400 = 107016^2 + 219520^2 .

It is a super-2 number, since 2×59641454656² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59641454597 and 59641454606.

It is not an unprimeable number, because it can be changed into a prime (59641454657) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 670128660 + ... + 670128748.

Almost surely, 2^59641454656 is an apocalyptic number.

59641454656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

59641454656 is the 244216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59641454656

59641454656 is an abundant number, since it is smaller than the sum of its proper divisors (80003405373).

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

59641454656 is an frugal number, since it uses more digits than its factorization.

59641454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 98 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 55.

The spelling of 59641454656 in words is "fifty-nine billion, six hundred forty-one million, four hundred fifty-four thousand, six hundred fifty-six".