124778504331264 has 896 divisors, whose sum is σ = 398561253801984. Its totient is φ = 34009251840000.

The previous prime is 124778504331251. The next prime is 124778504331317. The reversal of 124778504331264 is 462133405877421.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 497125515139 + ... + 497125515389.

It is an arithmetic number, because the mean of its divisors is an integer number (444822827904).

Almost surely, 2^{124778504331264} is an apocalyptic number.

124778504331264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124778504331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199280626900992).

124778504331264 is an abundant number, since it is smaller than the sum of its proper divisors (273782749470720).

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

124778504331264 is an frugal number, since it uses more digits than its factorization.

124778504331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 124778504331264 in words is "one hundred twenty-four trillion, seven hundred seventy-eight billion, five hundred four million, three hundred thirty-one thousand, two hundred sixty-four".