11361517152 has 24 divisors (see below), whose sum is σ = 29823982776. Its totient is φ = 3787172352.

The previous prime is 11361517151. The next prime is 11361517187. The reversal of 11361517152 is 25171516311.

11361517152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11361517152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361517151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59174473 + ... + 59174664.

It is an arithmetic number, because the mean of its divisors is an integer number (1242665949).

Almost surely, 2^11361517152 is an apocalyptic number.

11361517152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11361517152 is an abundant number, since it is smaller than the sum of its proper divisors (18462465624).

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

11361517152 is a wasteful number, since it uses less digits than its factorization.

11361517152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118349150 (or 118349142 counting only the distinct ones).

The product of its digits is 6300, while the sum is 33.

The spelling of 11361517152 in words is "eleven billion, three hundred sixty-one million, five hundred seventeen thousand, one hundred fifty-two".