1106878557456 has 480 divisors, whose sum is σ = 3934622834688. Its totient is φ = 294319111680.

The previous prime is 1106878557437. The next prime is 1106878557457. The reversal of 1106878557456 is 6547558786011.

It is a happy number.

1106878557456 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 8 + 7 + 8 + 5 + 574 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1106878557393 and 1106878557402.

It is not an unprimeable number, because it can be changed into a prime (1106878557457) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 23136921 + ... + 23184711.

Almost surely, 2^{1106878557456} is an apocalyptic number.

1106878557456 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 1106878557456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967311417344).

1106878557456 is an abundant number, since it is smaller than the sum of its proper divisors (2827744277232).

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

1106878557456 is a wasteful number, since it uses less digits than its factorization.

1106878557456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47881 (or 47863 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 1106878557456 in words is "one trillion, one hundred six billion, eight hundred seventy-eight million, five hundred fifty-seven thousand, four hundred fifty-six".