1149086453760 has 624 divisors, whose sum is σ = 4699018122240. Its totient is φ = 254166958080.

The previous prime is 1149086453759. The next prime is 1149086453761. The reversal of 1149086453760 is 673546809411.

1149086453760 is a `hidden beast` number, since 1 + 1 + 49 + 0 + 8 + 6 + 4 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1149086453759) and next prime (1149086453761).

It is a junction number, because it is equal to n+sod(n) for n = 1149086453697 and 1149086453706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149086453761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39983076 + ... + 40011804.

It is an arithmetic number, because the mean of its divisors is an integer number (7530477760).

Almost surely, 2^{1149086453760} is an apocalyptic number.

1149086453760 is a gapful number since it is divisible by the number (10) 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 1149086453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349509061120).

1149086453760 is an abundant number, since it is smaller than the sum of its proper divisors (3549931668480).

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

1149086453760 is a wasteful number, since it uses less digits than its factorization.

1149086453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28802 (or 28777 counting only the distinct ones).

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

The spelling of 1149086453760 in words is "one trillion, one hundred forty-nine billion, eighty-six million, four hundred fifty-three thousand, seven hundred sixty".