123049414656 has 819 divisors, whose sum is σ = 444477824661. Its totient is φ = 33944666112.

The previous prime is 123049414651. The next prime is 123049414661. The reversal of 123049414656 is 656414940321.

The square root of 123049414656 is 350784.

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

123049414656 is a `hidden beast` number, since 12 + 3 + 0 + 494 + 146 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (123049414651) and next prime (123049414661).

It can be written as a sum of positive squares in only one way, i.e., 64524128256 + 58525286400 = 254016^2 + 241920^2 .

It is not an unprimeable number, because it can be changed into a prime (123049414651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4243083250 + ... + 4243083278.

Almost surely, 2^123049414656 is an apocalyptic number.

123049414656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123049414656 is the 350784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123049414656

123049414656 is an abundant number, since it is smaller than the sum of its proper divisors (321428410005).

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

123049414656 is an frugal number, since it uses more digits than its factorization.

123049414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 123049414656 in words is "one hundred twenty-three billion, forty-nine million, four hundred fourteen thousand, six hundred fifty-six".