1153413880164 has 144 divisors (see below), whose sum is σ = 3595265261952. Its totient is φ = 303614977536.

The previous prime is 1153413880139. The next prime is 1153413880211. The reversal of 1153413880164 is 4610883143511.

1153413880164 is a `hidden beast` number, since 1 + 1 + 534 + 1 + 38 + 80 + 1 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376752 + ... + 2049944.

Almost surely, 2^{1153413880164} is an apocalyptic number.

1153413880164 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 1153413880164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797632630976).

1153413880164 is an abundant number, since it is smaller than the sum of its proper divisors (2441851381788).

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

1153413880164 is a wasteful number, since it uses less digits than its factorization.

1153413880164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673746 (or 673741 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1153413880164 in words is "one trillion, one hundred fifty-three billion, four hundred thirteen million, eight hundred eighty thousand, one hundred sixty-four".