1131077499264 has 320 divisors, whose sum is σ = 3480116196480. Its totient is φ = 364290048000.

The previous prime is 1131077499259. The next prime is 1131077499301. The reversal of 1131077499264 is 4629947701311.

1131077499264 is a `hidden beast` number, since 1 + 13 + 10 + 77 + 499 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1131077499264.

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 39 ways as a sum of consecutive naturals, for example, 235589664 + ... + 235594464.

It is an arithmetic number, because the mean of its divisors is an integer number (10875363114).

Almost surely, 2^{1131077499264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131077499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740058098240).

1131077499264 is an abundant number, since it is smaller than the sum of its proper divisors (2349038697216).

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

1131077499264 is an equidigital number, since it uses as much as digits as its factorization.

1131077499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1131077499264 in words is "one trillion, one hundred thirty-one billion, seventy-seven million, four hundred ninety-nine thousand, two hundred sixty-four".