1153484091936 has 1152 divisors, whose sum is σ = 4088910938112. Its totient is φ = 304238592000.

The previous prime is 1153484091917. The next prime is 1153484091941. The reversal of 1153484091936 is 6391904843511.

1153484091936 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 48 + 409 + 193 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4385870941 + ... + 4385871203.

It is an arithmetic number, because the mean of its divisors is an integer number (3549401856).

Almost surely, 2^{1153484091936} is an apocalyptic number.

1153484091936 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 1153484091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044455469056).

1153484091936 is an abundant number, since it is smaller than the sum of its proper divisors (2935426846176).

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

1153484091936 is a wasteful number, since it uses less digits than its factorization.

1153484091936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1153484091936 in words is "one trillion, one hundred fifty-three billion, four hundred eighty-four million, ninety-one thousand, nine hundred thirty-six".