1132497463680 has 768 divisors, whose sum is σ = 4462727892480. Its totient is φ = 261955584000.

The previous prime is 1132497463639. The next prime is 1132497463723. The reversal of 1132497463680 is 863647942311.

1132497463680 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 497 + 46 + 36 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832106200 + ... + 832107560.

It is an arithmetic number, because the mean of its divisors is an integer number (5810843610).

Almost surely, 2^{1132497463680} is an apocalyptic number.

1132497463680 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 1132497463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231363946240).

1132497463680 is an abundant number, since it is smaller than the sum of its proper divisors (3330230428800).

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

1132497463680 is a wasteful number, since it uses less digits than its factorization.

1132497463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1132497463680 in words is "one trillion, one hundred thirty-two billion, four hundred ninety-seven million, four hundred sixty-three thousand, six hundred eighty".