1107114454656 has 1152 divisors, whose sum is σ = 4184098588800. Its totient is φ = 278663970816.

The previous prime is 1107114454651. The next prime is 1107114454723. The reversal of 1107114454656 is 6564544117011.

1107114454656 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 11 + 44 + 546 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (1107114454651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 912707106 + ... + 912708318.

It is an arithmetic number, because the mean of its divisors is an integer number (3632030025).

Almost surely, 2^{1107114454656} is an apocalyptic number.

1107114454656 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 1107114454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092049294400).

1107114454656 is an abundant number, since it is smaller than the sum of its proper divisors (3076984134144).

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

1107114454656 is a wasteful number, since it uses less digits than its factorization.

1107114454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1107114454656 in words is "one trillion, one hundred seven billion, one hundred fourteen million, four hundred fifty-four thousand, six hundred fifty-six".