1011969141792 has 576 divisors, whose sum is σ = 3408076062720. Its totient is φ = 257084964864.

The previous prime is 1011969141773. The next prime is 1011969141851. The reversal of 1011969141792 is 2971419691101.

1011969141792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264703593 + ... + 264707415.

It is an arithmetic number, because the mean of its divisors is an integer number (5916798720).

Almost surely, 2^{1011969141792} is an apocalyptic number.

1011969141792 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 1011969141792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704038031360).

1011969141792 is an abundant number, since it is smaller than the sum of its proper divisors (2396106920928).

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

1011969141792 is a wasteful number, since it uses less digits than its factorization.

1011969141792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 51.

The spelling of 1011969141792 in words is "one trillion, eleven billion, nine hundred sixty-nine million, one hundred forty-one thousand, seven hundred ninety-two".