59344857664 has 63 divisors (see below), whose sum is σ = 121178481417. Its totient is φ = 28835391744.

The previous prime is 59344857631. The next prime is 59344857703. The reversal of 59344857664 is 46675844395.

The square root of 59344857664 is 243608.

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., 53102593600 + 6242264064 = 230440^2 + 79008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72107557 + ... + 72108379.

It is an arithmetic number, because the mean of its divisors is an integer number (1923467959).

Almost surely, 2^59344857664 is an apocalyptic number.

59344857664 is the 243608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59344857664

59344857664 is an abundant number, since it is smaller than the sum of its proper divisors (61833623753).

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

59344857664 is an frugal number, since it uses more digits than its factorization.

59344857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 862 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 61.

The spelling of 59344857664 in words is "fifty-nine billion, three hundred forty-four million, eight hundred fifty-seven thousand, six hundred sixty-four".