1106451451456 has 112 divisors (see below), whose sum is σ = 2415710281600. Its totient is φ = 499712716800.

The previous prime is 1106451451411. The next prime is 1106451451487. The reversal of 1106451451456 is 6541541546011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8351620 + ... + 8483068.

It is an arithmetic number, because the mean of its divisors is an integer number (21568841800).

Almost surely, 2^{1106451451456} is an apocalyptic number.

1106451451456 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 1106451451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207855140800).

1106451451456 is an abundant number, since it is smaller than the sum of its proper divisors (1309258830144).

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

1106451451456 is a wasteful number, since it uses less digits than its factorization.

1106451451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131692 (or 131682 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

Adding to 1106451451456 its reverse (6541541546011), we get a palindrome (7647992997467).

The spelling of 1106451451456 in words is "one trillion, one hundred six billion, four hundred fifty-one million, four hundred fifty-one thousand, four hundred fifty-six".