1188004081936 has 225 divisors, whose sum is σ = 2759138469591. Its totient is φ = 495502717248.

The previous prime is 1188004081907. The next prime is 1188004081987. The reversal of 1188004081936 is 6391804008811.

The square root of 1188004081936 is 1089956.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1188004081936² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1188004081936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14313302151 + ... + 14313302233.

Almost surely, 2^{1188004081936} is an apocalyptic number.

1188004081936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1188004081936 is the 1089956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188004081936

1188004081936 is an abundant number, since it is smaller than the sum of its proper divisors (1571134387655).

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

1188004081936 is an frugal number, since it uses more digits than its factorization.

1188004081936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

Multiplying 1188004081936 by its sum of digits (49), we get a square (58212200014864 = 7629692²).

1188004081936 divided by its sum of digits (49) gives a square (24244981264 = 155708²).

The spelling of 1188004081936 in words is "one trillion, one hundred eighty-eight billion, four million, eighty-one thousand, nine hundred thirty-six".