1149017572864 has 320 divisors, whose sum is σ = 2889359890560. Its totient is φ = 445081190400.

The previous prime is 1149017572837. The next prime is 1149017572867. The reversal of 1149017572864 is 4682757109411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149017572867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348080014 + ... + 348083314.

It is an arithmetic number, because the mean of its divisors is an integer number (9029249658).

Almost surely, 2^{1149017572864} is an apocalyptic number.

1149017572864 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 1149017572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444679945280).

1149017572864 is an abundant number, since it is smaller than the sum of its proper divisors (1740342317696).

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

1149017572864 is a wasteful number, since it uses less digits than its factorization.

1149017572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 1149017572864 in words is "one trillion, one hundred forty-nine billion, seventeen million, five hundred seventy-two thousand, eight hundred sixty-four".