1143526155840 has 336 divisors, whose sum is σ = 4042669585968. Its totient is φ = 296470167552.

The previous prime is 1143526155823. The next prime is 1143526155859. The reversal of 1143526155840 is 485516253411.

1143526155840 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 5 + 2 + 61 + 5 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10272227904 + 1133253927936 = 101352^2 + 1064544^2 .

It is a super-2 number, since 2×1143526155840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171877954 + ... + 171884606.

Almost surely, 2^{1143526155840} is an apocalyptic number.

1143526155840 is a gapful number since it is divisible by the number (10) 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 1143526155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021334792984).

1143526155840 is an abundant number, since it is smaller than the sum of its proper divisors (2899143430128).

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

1143526155840 is a wasteful number, since it uses less digits than its factorization.

1143526155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1143526155840 in words is "one trillion, one hundred forty-three billion, five hundred twenty-six million, one hundred fifty-five thousand, eight hundred forty".