11029464876864 has 336 divisors, whose sum is σ = 35432895685248. Its totient is φ = 3013378486272.

The previous prime is 11029464876839. The next prime is 11029464877009. The reversal of 11029464876864 is 46867846492011.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11029464876864² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11029464876795 and 11029464876804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133198142 + ... + 1133207874.

Almost surely, 2^{11029464876864} is an apocalyptic number.

11029464876864 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 11029464876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716447842624).

11029464876864 is an abundant number, since it is smaller than the sum of its proper divisors (24403430808384).

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

11029464876864 is a wasteful number, since it uses less digits than its factorization.

11029464876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 11029464876864 in words is "eleven trillion, twenty-nine billion, four hundred sixty-four million, eight hundred seventy-six thousand, eight hundred sixty-four".