1149500104704 has 448 divisors, whose sum is σ = 3905749140480. Its totient is φ = 327290388480.

The previous prime is 1149500104703. The next prime is 1149500104741. The reversal of 1149500104704 is 4074010059411.

1149500104704 is a `hidden beast` number, since 1 + 1 + 49 + 500 + 104 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1149500104703) 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, 512482207 + ... + 512484449.

Almost surely, 2^{1149500104704} is an apocalyptic number.

1149500104704 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 1149500104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952874570240).

1149500104704 is an abundant number, since it is smaller than the sum of its proper divisors (2756249035776).

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

1149500104704 is an equidigital number, since it uses as much as digits as its factorization.

1149500104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1149500104704 in words is "one trillion, one hundred forty-nine billion, five hundred million, one hundred four thousand, seven hundred four".