1123186328640 has 336 divisors, whose sum is σ = 3966303122496. Its totient is φ = 291616665600.

The previous prime is 1123186328591. The next prime is 1123186328659. The reversal of 1123186328640 is 468236813211.

1123186328640 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 8 + 632 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19967755 + ... + 20023925.

Almost surely, 2^{1123186328640} is an apocalyptic number.

1123186328640 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 1123186328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983151561248).

1123186328640 is an abundant number, since it is smaller than the sum of its proper divisors (2843116793856).

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

1123186328640 is a wasteful number, since it uses less digits than its factorization.

1123186328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56378 (or 56365 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1123186328640 in words is "one trillion, one hundred twenty-three billion, one hundred eighty-six million, three hundred twenty-eight thousand, six hundred forty".