1149745117920 has 576 divisors, whose sum is σ = 4471576171776. Its totient is φ = 246743777280.

The previous prime is 1149745117907. The next prime is 1149745117999. The reversal of 1149745117920 is 297115479411.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177125875 + ... + 177132365.

It is an arithmetic number, because the mean of its divisors is an integer number (7763153076).

Almost surely, 2^{1149745117920} is an apocalyptic number.

1149745117920 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 1149745117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235788085888).

1149745117920 is an abundant number, since it is smaller than the sum of its proper divisors (3321831053856).

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

1149745117920 is a wasteful number, since it uses less digits than its factorization.

1149745117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 1149745117920 in words is "one trillion, one hundred forty-nine billion, seven hundred forty-five million, one hundred seventeen thousand, nine hundred twenty".