11012004864 has 352 divisors, whose sum is σ = 39475330560. Its totient is φ = 2960326656.

The previous prime is 11012004859. The next prime is 11012004869. The reversal of 11012004864 is 46840021011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11012004859) and next prime (11012004869).

It is a super-2 number, since 2×11012004864² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012004869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3288439 + ... + 3291785.

Almost surely, 2^11012004864 is an apocalyptic number.

11012004864 is a gapful number since it is divisible by the number (14) 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 11012004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737665280).

11012004864 is an abundant number, since it is smaller than the sum of its proper divisors (28463325696).

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

11012004864 is a wasteful number, since it uses less digits than its factorization.

11012004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11012004864 its reverse (46840021011), we get a palindrome (57852025875).

The spelling of 11012004864 in words is "eleven billion, twelve million, four thousand, eight hundred sixty-four".