1109777409216 has 224 divisors, whose sum is σ = 3763468500480. Its totient is φ = 314115535872.

The previous prime is 1109777409193. The next prime is 1109777409271. The reversal of 1109777409216 is 6129047779011.

It is a happy number.

1109777409216 is a `hidden beast` number, since 1 + 10 + 9 + 7 + 7 + 7 + 409 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865546 + ... + 1722998.

Almost surely, 2^{1109777409216} is an apocalyptic number.

1109777409216 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 1109777409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881734250240).

1109777409216 is an abundant number, since it is smaller than the sum of its proper divisors (2653691091264).

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

1109777409216 is a wasteful number, since it uses less digits than its factorization.

1109777409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857588 (or 857572 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 1109777409216 in words is "one trillion, one hundred nine billion, seven hundred seventy-seven million, four hundred nine thousand, two hundred sixteen".