1107348650496 has 480 divisors, whose sum is σ = 3615434222400. Its totient is φ = 323199959040.

The previous prime is 1107348650491. The next prime is 1107348650497. The reversal of 1107348650496 is 6940568437011.

1107348650496 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 3 + 48 + 6 + 504 + 96 = 666.

It is a super-2 number, since 2×1107348650496² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1107348650491) 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 47 ways as a sum of consecutive naturals, for example, 909899680 + ... + 909900896.

It is an arithmetic number, because the mean of its divisors is an integer number (7532154630).

Almost surely, 2^{1107348650496} is an apocalyptic number.

1107348650496 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 1107348650496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807717111200).

1107348650496 is an abundant number, since it is smaller than the sum of its proper divisors (2508085571904).

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

1107348650496 is a wasteful number, since it uses less digits than its factorization.

1107348650496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1107348650496 in words is "one trillion, one hundred seven billion, three hundred forty-eight million, six hundred fifty thousand, four hundred ninety-six".