11634132312264 has 64 divisors (see below), whose sum is σ = 36262230589440. Its totient is φ = 3021852548160.

The previous prime is 11634132312251. The next prime is 11634132312277. The reversal of 11634132312264 is 46221323143611.

It is an interprime number because it is at equal distance from previous prime (11634132312251) and next prime (11634132312277).

It is a super-5 number, since 5×11634132312264⁵ (a number of 67 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3147761224 + ... + 3147764919.

It is an arithmetic number, because the mean of its divisors is an integer number (566597352960).

Almost surely, 2^{11634132312264} is an apocalyptic number.

11634132312264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11634132312264 is an abundant number, since it is smaller than the sum of its proper divisors (24628098277176).

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

11634132312264 is a wasteful number, since it uses less digits than its factorization.

11634132312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295526170 (or 6295526166 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

Adding to 11634132312264 its reverse (46221323143611), we get a palindrome (57855455455875).

The spelling of 11634132312264 in words is "eleven trillion, six hundred thirty-four billion, one hundred thirty-two million, three hundred twelve thousand, two hundred sixty-four".