1186453293480 has 864 divisors, whose sum is σ = 4898381833800. Its totient is φ = 246861748224.

The previous prime is 1186453293449. The next prime is 1186453293481. The reversal of 1186453293480 is 843923546811.

It is a happy number.

1186453293480 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 45 + 32 + 93 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 784829440836 + 401623852644 = 885906^2 + 633738^2 .

It is not an unprimeable number, because it can be changed into a prime (1186453293481) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1431185706 + ... + 1431186534.

Almost surely, 2^{1186453293480} is an apocalyptic number.

1186453293480 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 1186453293480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449190916900).

1186453293480 is an abundant number, since it is smaller than the sum of its proper divisors (3711928540320).

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

1186453293480 is a wasteful number, since it uses less digits than its factorization.

1186453293480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1186453293480 in words is "one trillion, one hundred eighty-six billion, four hundred fifty-three million, two hundred ninety-three thousand, four hundred eighty".