1135196504064 has 228 divisors, whose sum is σ = 3747997739824. Its totient is φ = 324337139712.

The previous prime is 1135196504063. The next prime is 1135196504087. The reversal of 1135196504064 is 4604056915311.

1135196504064 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 196 + 50 + 406 + 4 = 666.

It is a super-4 number, since 4×1135196504064⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135196504063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16480704 + ... + 16549440.

Almost surely, 2^{1135196504064} is an apocalyptic number.

1135196504064 is a gapful number since it is divisible by the number (14) 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 1135196504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873998869912).

1135196504064 is an abundant number, since it is smaller than the sum of its proper divisors (2612801235760).

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

1135196504064 is an frugal number, since it uses more digits than its factorization.

1135196504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68786 (or 68749 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1135196504064 in words is "one trillion, one hundred thirty-five billion, one hundred ninety-six million, five hundred four thousand, sixty-four".