1192088978496 has 672 divisors, whose sum is σ = 4217983822080. Its totient is φ = 327013023744.

The previous prime is 1192088978491. The next prime is 1192088978503. The reversal of 1192088978496 is 6948798802911.

It is a super-2 number, since 2×1192088978496² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1192088978491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137857245 + ... + 137865891.

It is an arithmetic number, because the mean of its divisors is an integer number (6276761640).

Almost surely, 2^{1192088978496} is an apocalyptic number.

1192088978496 is a gapful number since it is divisible by the number (16) 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 1192088978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108991911040).

1192088978496 is an abundant number, since it is smaller than the sum of its proper divisors (3025894843584).

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

1192088978496 is a wasteful number, since it uses less digits than its factorization.

1192088978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 1192088978496 in words is "one trillion, one hundred ninety-two billion, eighty-eight million, nine hundred seventy-eight thousand, four hundred ninety-six".