1138650163200 has 864 divisors, whose sum is σ = 4557955147200. Its totient is φ = 269254656000.

The previous prime is 1138650163187. The next prime is 1138650163201. The reversal of 1138650163200 is 23610568311.

1138650163200 is a `hidden beast` number, since 1 + 13 + 8 + 6 + 5 + 0 + 1 + 632 + 0 + 0 = 666.

It is a super-3 number, since 3×1138650163200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1138650163201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207818061 + ... + 207823539.

It is an arithmetic number, because the mean of its divisors is an integer number (5275411050).

Almost surely, 2^{1138650163200} is an apocalyptic number.

1138650163200 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 1138650163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278977573600).

1138650163200 is an abundant number, since it is smaller than the sum of its proper divisors (3419304984000).

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

1138650163200 is a wasteful number, since it uses less digits than its factorization.

1138650163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1138650163200 in words is "one trillion, one hundred thirty-eight billion, six hundred fifty million, one hundred sixty-three thousand, two hundred".