1123968614400 has 552 divisors, whose sum is σ = 4139945326640. Its totient is φ = 298969989120.

The previous prime is 1123968614389. The next prime is 1123968614407. The reversal of 1123968614400 is 44168693211.

1123968614400 is a `hidden beast` number, since 1 + 1 + 23 + 9 + 6 + 8 + 614 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123968614407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2831155002 + ... + 2831155398.

Almost surely, 2^{1123968614400} is an apocalyptic number.

1123968614400 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 1123968614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069972663320).

1123968614400 is an abundant number, since it is smaller than the sum of its proper divisors (3015976712240).

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

1123968614400 is an frugal number, since it uses more digits than its factorization.

1123968614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1123968614400 in words is "one trillion, one hundred twenty-three billion, nine hundred sixty-eight million, six hundred fourteen thousand, four hundred".