1151362016 has 72 divisors (see below), whose sum is σ = 2662798320. Its totient is φ = 488581632.

The previous prime is 1151362001. The next prime is 1151362039. The reversal of 1151362016 is 6102631511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157940 + ... + 165068.

It is an arithmetic number, because the mean of its divisors is an integer number (36983310).

Almost surely, 2^1151362016 is an apocalyptic number.

1151362016 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 1151362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331399160).

1151362016 is an abundant number, since it is smaller than the sum of its proper divisors (1511436304).

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

1151362016 is a wasteful number, since it uses less digits than its factorization.

1151362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1151362016 is about 33931.7258034424. The cubic root of 1151362016 is about 1048.1030044630.

Adding to 1151362016 its reverse (6102631511), we get a palindrome (7253993527).

The spelling of 1151362016 in words is "one billion, one hundred fifty-one million, three hundred sixty-two thousand, sixteen".