1077743149056 has 1176 divisors, whose sum is σ = 3919400766720. Its totient is φ = 294967443456.

The previous prime is 1077743149031. The next prime is 1077743149073. The reversal of 1077743149056 is 6509413477701.

1077743149056 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 74 + 31 + 490 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×1077743149056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1077743148993 and 1077743149011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8486166465 + ... + 8486166591.

Almost surely, 2^{1077743149056} is an apocalyptic number.

1077743149056 is a gapful number since it is divisible by the number (16) 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 1077743149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959700383360).

1077743149056 is an abundant number, since it is smaller than the sum of its proper divisors (2841657617664).

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

1077743149056 is an frugal number, since it uses more digits than its factorization.

1077743149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1077743149056 in words is "one trillion, seventy-seven billion, seven hundred forty-three million, one hundred forty-nine thousand, fifty-six".