1077892462656 has 189 divisors, whose sum is σ = 3119801291373. Its totient is φ = 355817387520.

The previous prime is 1077892462637. The next prime is 1077892462657. The reversal of 1077892462656 is 6562642987701.

The square root of 1077892462656 is 1038216.

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

1077892462656 is a `hidden beast` number, since 10 + 7 + 78 + 92 + 462 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11877512256 + 1066014950400 = 108984^2 + 1032480^2 .

It is a super-2 number, since 2×1077892462656² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1077892462593 and 1077892462602.

It is not an unprimeable number, because it can be changed into a prime (1077892462657) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4510010185 + ... + 4510010423.

Almost surely, 2^{1077892462656} is an apocalyptic number.

1077892462656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1077892462656 is the 1038216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077892462656

1077892462656 is an abundant number, since it is smaller than the sum of its proper divisors (2041908828717).

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

1077892462656 is an frugal number, since it uses more digits than its factorization.

1077892462656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1077892462656 in words is "one trillion, seventy-seven billion, eight hundred ninety-two million, four hundred sixty-two thousand, six hundred fifty-six".