1131264165504 has 384 divisors, whose sum is σ = 3504508035840. Its totient is φ = 321970176000.

The previous prime is 1131264165497. The next prime is 1131264165583. The reversal of 1131264165504 is 4055614621311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1131264165504² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474721497 + ... + 474723879.

It is an arithmetic number, because the mean of its divisors is an integer number (9126323010).

Almost surely, 2^{1131264165504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131264165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752254017920).

1131264165504 is an abundant number, since it is smaller than the sum of its proper divisors (2373243870336).

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

1131264165504 is a wasteful number, since it uses less digits than its factorization.

1131264165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 1131264165504 its reverse (4055614621311), we get a palindrome (5186878786815).

The spelling of 1131264165504 in words is "one trillion, one hundred thirty-one billion, two hundred sixty-four million, one hundred sixty-five thousand, five hundred four".