1132924724064 has 432 divisors, whose sum is σ = 3999116000880. Its totient is φ = 302450319360.

The previous prime is 1132924724051. The next prime is 1132924724117. The reversal of 1132924724064 is 4604274292311.

1132924724064 is a `hidden beast` number, since 1 + 1 + 32 + 92 + 472 + 4 + 0 + 64 = 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 71 ways as a sum of consecutive naturals, for example, 19544404 + ... + 19602284.

It is an arithmetic number, because the mean of its divisors is an integer number (9257212965).

Almost surely, 2^{1132924724064} is an apocalyptic number.

1132924724064 is a gapful number since it is divisible by the number (14) 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 1132924724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999558000440).

1132924724064 is an abundant number, since it is smaller than the sum of its proper divisors (2866191276816).

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

1132924724064 is a wasteful number, since it uses less digits than its factorization.

1132924724064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58003 (or 57985 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1132924724064 in words is "one trillion, one hundred thirty-two billion, nine hundred twenty-four million, seven hundred twenty-four thousand, sixty-four".