1151125416 has 96 divisors (see below), whose sum is σ = 3571426560. Its totient is φ = 328116096.

The previous prime is 1151125411. The next prime is 1151125477. The reversal of 1151125416 is 6145211511.

1151125416 is a `hidden beast` number, since 1 + 1 + 5 + 112 + 541 + 6 = 666.

It is a super-3 number, since 3×1151125416³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1151125416.

It is not an unprimeable number, because it can be changed into a prime (1151125411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230886 + ... + 235818.

It is an arithmetic number, because the mean of its divisors is an integer number (37202360).

Almost surely, 2^1151125416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151125416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785713280).

1151125416 is an abundant number, since it is smaller than the sum of its proper divisors (2420301144).

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

1151125416 is a wasteful number, since it uses less digits than its factorization.

1151125416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5408 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 1151125416 is about 33928.2392116066. The cubic root of 1151125416 is about 1048.0312059740.

Adding to 1151125416 its reverse (6145211511), we get a palindrome (7296336927).

The spelling of 1151125416 in words is "one billion, one hundred fifty-one million, one hundred twenty-five thousand, four hundred sixteen".