1106771214432 has 384 divisors, whose sum is σ = 3368861798400. Its totient is φ = 315512930304.

The previous prime is 1106771214389. The next prime is 1106771214457. The reversal of 1106771214432 is 2344121776011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120179044 + ... + 120188252.

It is an arithmetic number, because the mean of its divisors is an integer number (8773077600).

Almost surely, 2^{1106771214432} is an apocalyptic number.

1106771214432 is a gapful number since it is divisible by the number (12) 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 1106771214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684430899200).

1106771214432 is an abundant number, since it is smaller than the sum of its proper divisors (2262090583968).

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

1106771214432 is a wasteful number, since it uses less digits than its factorization.

1106771214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 1106771214432 in words is "one trillion, one hundred six billion, seven hundred seventy-one million, two hundred fourteen thousand, four hundred thirty-two".