1183648378640 has 720 divisors, whose sum is σ = 3646208288448. Its totient is φ = 355687428096.

The previous prime is 1183648378613. The next prime is 1183648378687. The reversal of 1183648378640 is 468738463811.

It is a happy number.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1183648378640.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1054005119 + ... + 1054006241.

Almost surely, 2^{1183648378640} is an apocalyptic number.

1183648378640 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 1183648378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823104144224).

1183648378640 is an abundant number, since it is smaller than the sum of its proper divisors (2462559909808).

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

1183648378640 is a wasteful number, since it uses less digits than its factorization.

1183648378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 1183648378640 in words is "one trillion, one hundred eighty-three billion, six hundred forty-eight million, three hundred seventy-eight thousand, six hundred forty".