1154061216 has 576 divisors, whose sum is σ = 4504550400. Its totient is φ = 280558080.

The previous prime is 1154061187. The next prime is 1154061217. The reversal of 1154061216 is 6121604511.

1154061216 is a `hidden beast` number, since 1 + 1 + 5 + 40 + 612 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1154061216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154061217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13904311 + ... + 13904393.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 2^1154061216 is an apocalyptic number.

1154061216 is a gapful number since it is divisible by the number (16) 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 1154061216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252275200).

1154061216 is an abundant number, since it is smaller than the sum of its proper divisors (3350489184).

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

1154061216 is a wasteful number, since it uses less digits than its factorization.

1154061216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1154061216 is about 33971.4765060337. The cubic root of 1154061216 is about 1048.9214066998.

Adding to 1154061216 its reverse (6121604511), we get a palindrome (7275665727).

The spelling of 1154061216 in words is "one billion, one hundred fifty-four million, sixty-one thousand, two hundred sixteen".