1149444845640 has 2048 divisors, whose sum is σ = 5096577024000. Its totient is φ = 223956762624.

The previous prime is 1149444845579. The next prime is 1149444845657. The reversal of 1149444845640 is 465484449411.

1149444845640 is a `hidden beast` number, since 1 + 14 + 94 + 4 + 484 + 5 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10172078224 + ... + 10172078336.

It is an arithmetic number, because the mean of its divisors is an integer number (2488563000).

Almost surely, 2^{1149444845640} is an apocalyptic number.

1149444845640 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 1149444845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548288512000).

1149444845640 is an abundant number, since it is smaller than the sum of its proper divisors (3947132178360).

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

1149444845640 is a wasteful number, since it uses less digits than its factorization.

1149444845640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1149444845640 in words is "one trillion, one hundred forty-nine billion, four hundred forty-four million, eight hundred forty-five thousand, six hundred forty".