1152534658464 has 240 divisors, whose sum is σ = 3899804832000. Its totient is φ = 327084811776.

The previous prime is 1152534658453. The next prime is 1152534658469. The reversal of 1152534658464 is 4648564352511.

1152534658464 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 53 + 4 + 6 + 584 + 6 + 4 = 666.

It is a super-2 number, since 2×1152534658464² (a number of 25 digits) contains 22 as substring.

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 1152534658464.

It is not an unprimeable number, because it can be changed into a prime (1152534658469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2490297 + ... + 2916615.

It is an arithmetic number, because the mean of its divisors is an integer number (16249186800).

Almost surely, 2^{1152534658464} is an apocalyptic number.

1152534658464 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 1152534658464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949902416000).

1152534658464 is an abundant number, since it is smaller than the sum of its proper divisors (2747270173536).

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

1152534658464 is a wasteful number, since it uses less digits than its factorization.

1152534658464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426497 (or 426480 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 1152534658464 in words is "one trillion, one hundred fifty-two billion, five hundred thirty-four million, six hundred fifty-eight thousand, four hundred sixty-four".