1190146780992 has 672 divisors, whose sum is σ = 3796028748288. Its totient is φ = 325623545856.

The previous prime is 1190146780967. The next prime is 1190146781027. The reversal of 1190146780992 is 2990876410911.

It is a super-2 number, since 2×1190146780992² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9371234433 + ... + 9371234559.

It is an arithmetic number, because the mean of its divisors is an integer number (5648852304).

Almost surely, 2^{1190146780992} is an apocalyptic number.

1190146780992 is a gapful number since it is divisible by the number (12) 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 1190146780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898014374144).

1190146780992 is an abundant number, since it is smaller than the sum of its proper divisors (2605881967296).

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

1190146780992 is a wasteful number, since it uses less digits than its factorization.

1190146780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 1190146780992 in words is "one trillion, one hundred ninety billion, one hundred forty-six million, seven hundred eighty thousand, nine hundred ninety-two".