78244922419456 has 405 divisors, whose sum is σ = 181004805750489. Its totient is φ = 33739585431552.

The previous prime is 78244922419429. The next prime is 78244922419463. The reversal of 78244922419456 is 65491422944287.

The square root of 78244922419456 is 8845616.

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., 11574692665600 + 66670229753856 = 3402160^2 + 8165184^2 .

It is a super-2 number, since 2×78244922419456² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (278691840) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 78244922419391 and 78244922419400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1819649358571 + ... + 1819649358613.

Almost surely, 2^{78244922419456} is an apocalyptic number.

78244922419456 is the 8845616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78244922419456

78244922419456 is an abundant number, since it is smaller than the sum of its proper divisors (102759883331033).

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

78244922419456 is an frugal number, since it uses more digits than its factorization.

78244922419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 81 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 67.

The spelling of 78244922419456 in words is "seventy-eight trillion, two hundred forty-four billion, nine hundred twenty-two million, four hundred nineteen thousand, four hundred fifty-six".