1145201218848 has 36 divisors (see below), whose sum is σ = 3256665966918. Its totient is φ = 381733739520.

The previous prime is 1145201218823. The next prime is 1145201218849. The reversal of 1145201218848 is 8488121025411.

1145201218848 is a `hidden beast` number, since 1 + 1 + 4 + 520 + 1 + 2 + 1 + 88 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1143727580304 + 1473638544 = 1069452^2 + 38388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1145201218848² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145201218849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1988196273 + ... + 1988196848.

Almost surely, 2^{1145201218848} is an apocalyptic number.

1145201218848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1145201218848 is an abundant number, since it is smaller than the sum of its proper divisors (2111464748070).

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

1145201218848 is a wasteful number, since it uses less digits than its factorization.

1145201218848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976393137 (or 3976393126 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 1145201218848 in words is "one trillion, one hundred forty-five billion, two hundred one million, two hundred eighteen thousand, eight hundred forty-eight".