1152598616064 has 1440 divisors, whose sum is σ = 4473725256000. Its totient is φ = 292960862208.

The previous prime is 1152598616041. The next prime is 1152598616087. The reversal of 1152598616064 is 4606168952511.

It is a happy number.

1152598616064 is a `hidden beast` number, since 1 + 1 + 5 + 25 + 9 + 8 + 6 + 1 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1152598616041) and next prime (1152598616087).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1152598616064.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2625509157 + ... + 2625509595.

It is an arithmetic number, because the mean of its divisors is an integer number (3106753650).

Almost surely, 2^{1152598616064} is an apocalyptic number.

1152598616064 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 1152598616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236862628000).

1152598616064 is an abundant number, since it is smaller than the sum of its proper divisors (3321126639936).

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

1152598616064 is a wasteful number, since it uses less digits than its factorization.

1152598616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1152598616064 in words is "one trillion, one hundred fifty-two billion, five hundred ninety-eight million, six hundred sixteen thousand, sixty-four".