1132306614648 has 640 divisors, whose sum is σ = 3705624806400. Its totient is φ = 319653734400.

The previous prime is 1132306614641. The next prime is 1132306614679. The reversal of 1132306614648 is 8464166032311.

1132306614648 is a `hidden beast` number, since 1 + 1 + 3 + 23 + 0 + 6 + 614 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×1132306614648² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132306614641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1035961590 + ... + 1035962682.

It is an arithmetic number, because the mean of its divisors is an integer number (5790038760).

Almost surely, 2^{1132306614648} is an apocalyptic number.

1132306614648 is a gapful number since it is divisible by the number (18) 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 1132306614648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852812403200).

1132306614648 is an abundant number, since it is smaller than the sum of its proper divisors (2573318191752).

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

1132306614648 is a wasteful number, since it uses less digits than its factorization.

1132306614648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1132306614648 in words is "one trillion, one hundred thirty-two billion, three hundred six million, six hundred fourteen thousand, six hundred forty-eight".