1164153489408 has 1536 divisors, whose sum is σ = 4649508864000. Its totient is φ = 279010344960.

The previous prime is 1164153489407. The next prime is 1164153489419. The reversal of 1164153489408 is 8049843514611.

1164153489408 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 153 + 4 + 89 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1164153489403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2651830053 + ... + 2651830491.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024000).

Almost surely, 2^{1164153489408} is an apocalyptic number.

1164153489408 is a gapful number since it is divisible by the number (18) 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 1164153489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324754432000).

1164153489408 is an abundant number, since it is smaller than the sum of its proper divisors (3485355374592).

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

1164153489408 is a wasteful number, since it uses less digits than its factorization.

1164153489408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

It can be divided in two parts, 1164153 and 489408, that added together give a palindrome (1653561).

The spelling of 1164153489408 in words is "one trillion, one hundred sixty-four billion, one hundred fifty-three million, four hundred eighty-nine thousand, four hundred eight".