1163030135904 has 1728 divisors, whose sum is σ = 4630356057600. Its totient is φ = 273145872384.

The previous prime is 1163030135843. The next prime is 1163030135941. The reversal of 1163030135904 is 4095310303611.

It is a happy number.

1163030135904 is a `hidden beast` number, since 1 + 1 + 6 + 30 + 30 + 1 + 3 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7135154127 + ... + 7135154289.

It is an arithmetic number, because the mean of its divisors is an integer number (2679604200).

Almost surely, 2^{1163030135904} is an apocalyptic number.

1163030135904 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 1163030135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315178028800).

1163030135904 is an abundant number, since it is smaller than the sum of its proper divisors (3467325921696).

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

1163030135904 is a wasteful number, since it uses less digits than its factorization.

1163030135904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 1163030135904 in words is "one trillion, one hundred sixty-three billion, thirty million, one hundred thirty-five thousand, nine hundred four".