11334510504000 has 672 divisors, whose sum is σ = 42972289337952. Its totient is φ = 2841968640000.

The previous prime is 11334510503993. The next prime is 11334510504011. The reversal of 11334510504000 is 40501543311.

It is a happy number.

11334510504000 is a `hidden beast` number, since 113 + 3 + 45 + 1 + 0 + 504 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4479623046144 + 6854887457856 = 2116512^2 + 2618184^2 .

It is a super-2 number, since 2×11334510504000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1445540080 + ... + 1445547920.

Almost surely, 2^{11334510504000} is an apocalyptic number.

11334510504000 is a gapful number since it is divisible by the number (10) 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 11334510504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486144668976).

11334510504000 is an abundant number, since it is smaller than the sum of its proper divisors (31637778833952).

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

11334510504000 is a wasteful number, since it uses less digits than its factorization.

11334510504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11334510504000 in words is "eleven trillion, three hundred thirty-four billion, five hundred ten million, five hundred four thousand".