1162402111776 has 96 divisors (see below), whose sum is σ = 3084442623360. Its totient is φ = 383273160704.

The previous prime is 1162402111771. The next prime is 1162402111781. The reversal of 1162402111776 is 6771112042611.

It is an interprime number because it is at equal distance from previous prime (1162402111771) and next prime (1162402111781).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1162402111776² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1162402111771) 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 15 ways as a sum of consecutive naturals, for example, 5350030 + ... + 5563058.

It is an arithmetic number, because the mean of its divisors is an integer number (32129610660).

Almost surely, 2^{1162402111776} is an apocalyptic number.

1162402111776 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 1162402111776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542221311680).

1162402111776 is an abundant number, since it is smaller than the sum of its proper divisors (1922040511584).

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

1162402111776 is a wasteful number, since it uses less digits than its factorization.

1162402111776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213658 (or 213650 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 1162402111776 in words is "one trillion, one hundred sixty-two billion, four hundred two million, one hundred eleven thousand, seven hundred seventy-six".