1118537946400 has 288 divisors, whose sum is σ = 3163657512960. Its totient is φ = 378238264320.

The previous prime is 1118537946391. The next prime is 1118537946473. The reversal of 1118537946400 is 46497358111.

It is a super-2 number, since 2×1118537946400² (a number of 25 digits) contains 22 as substring.

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, 334189527 + ... + 334192873.

It is an arithmetic number, because the mean of its divisors is an integer number (10984921920).

Almost surely, 2^{1118537946400} is an apocalyptic number.

1118537946400 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 1118537946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581828756480).

1118537946400 is an abundant number, since it is smaller than the sum of its proper divisors (2045119566560).

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

1118537946400 is a wasteful number, since it uses less digits than its factorization.

1118537946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 1118537946400 in words is "one trillion, one hundred eighteen billion, five hundred thirty-seven million, nine hundred forty-six thousand, four hundred".