1135867428864 has 1024 divisors, whose sum is σ = 4152297600000. Its totient is φ = 305892163584.

The previous prime is 1135867428811. The next prime is 1135867428877. The reversal of 1135867428864 is 4688247685311.

1135867428864 is a `hidden beast` number, since 1 + 1 + 3 + 586 + 7 + 42 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×1135867428864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5765824414 + ... + 5765824610.

It is an arithmetic number, because the mean of its divisors is an integer number (4054978125).

Almost surely, 2^{1135867428864} is an apocalyptic number.

1135867428864 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 1135867428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076148800000).

1135867428864 is an abundant number, since it is smaller than the sum of its proper divisors (3016430171136).

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

1135867428864 is an frugal number, since it uses more digits than its factorization.

1135867428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 228 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 1135867428864 in words is "one trillion, one hundred thirty-five billion, eight hundred sixty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".