1125177984 has 288 divisors, whose sum is σ = 3893984640. Its totient is φ = 310625280.

The previous prime is 1125177983. The next prime is 1125178003. The reversal of 1125177984 is 4897715211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×1125177984⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125177983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749567 + ... + 1750209.

It is an arithmetic number, because the mean of its divisors is an integer number (13520780).

Almost surely, 2^1125177984 is an apocalyptic number.

1125177984 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 1125177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946992320).

1125177984 is an abundant number, since it is smaller than the sum of its proper divisors (2768806656).

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

1125177984 is a wasteful number, since it uses less digits than its factorization.

1125177984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 686 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The square root of 1125177984 is about 33543.6727863840. The cubic root of 1125177984 is about 1040.0967562840.

The spelling of 1125177984 in words is "one billion, one hundred twenty-five million, one hundred seventy-seven thousand, nine hundred eighty-four".