1151244555664 has 80 divisors (see below), whose sum is σ = 2617394976000. Its totient is φ = 480244101120.

The previous prime is 1151244555589. The next prime is 1151244555667. The reversal of 1151244555664 is 4665554421511.

It is not an unprimeable number, because it can be changed into a prime (1151244555667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698837 + ... + 2277835.

It is an arithmetic number, because the mean of its divisors is an integer number (32717437200).

Almost surely, 2^{1151244555664} is an apocalyptic number.

1151244555664 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 1151244555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308697488000).

1151244555664 is an abundant number, since it is smaller than the sum of its proper divisors (1466150420336).

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

1151244555664 is a wasteful number, since it uses less digits than its factorization.

1151244555664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579488 (or 579482 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 49.

The spelling of 1151244555664 in words is "one trillion, one hundred fifty-one billion, two hundred forty-four million, five hundred fifty-five thousand, six hundred sixty-four".