656436738048 has 384 divisors, whose sum is σ = 2163606681600. Its totient is φ = 172348932096.

The previous prime is 656436738031. The next prime is 656436738203. The reversal of 656436738048 is 840837634656.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 656436737982 and 656436738000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130268713 + ... + 130273751.

It is an arithmetic number, because the mean of its divisors is an integer number (5634392400).

Almost surely, 2^656436738048 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 656436738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081803340800).

656436738048 is an abundant number, since it is smaller than the sum of its proper divisors (1507169943552).

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

656436738048 is a wasteful number, since it uses less digits than its factorization.

656436738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 656436738048 in words is "six hundred fifty-six billion, four hundred thirty-six million, seven hundred thirty-eight thousand, forty-eight".