1107893489472 has 672 divisors, whose sum is σ = 4041074878464. Its totient is φ = 281852006400.

The previous prime is 1107893489467. The next prime is 1107893489477. The reversal of 1107893489472 is 2749843987011.

1107893489472 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 89 + 3 + 4 + 89 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (1107893489467) and next prime (1107893489477).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107893489477) 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 95 ways as a sum of consecutive naturals, for example, 765647853 + ... + 765649299.

Almost surely, 2^{1107893489472} is an apocalyptic number.

1107893489472 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 1107893489472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020537439232).

1107893489472 is an abundant number, since it is smaller than the sum of its proper divisors (2933181388992).

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

1107893489472 is a wasteful number, since it uses less digits than its factorization.

1107893489472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1107893489472 in words is "one trillion, one hundred seven billion, eight hundred ninety-three million, four hundred eighty-nine thousand, four hundred seventy-two".