11734511728900 has 36 divisors (see below), whose sum is σ = 25479795790260. Its totient is φ = 4690872832000.

The previous prime is 11734511728871. The next prime is 11734511728909. The reversal of 11734511728900 is 982711543711.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 138348290304 + 11596163438596 = 371952^2 + 3405314^2 .

It is a super-3 number, since 3×11734511728900³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11734511728909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36487345 + ... + 36807544.

It is an arithmetic number, because the mean of its divisors is an integer number (707772105285).

Almost surely, 2^{11734511728900} is an apocalyptic number.

11734511728900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11734511728900 is an abundant number, since it is smaller than the sum of its proper divisors (13745284061360).

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

11734511728900 is a wasteful number, since it uses less digits than its factorization.

11734511728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73296504 (or 73296497 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

The spelling of 11734511728900 in words is "eleven trillion, seven hundred thirty-four billion, five hundred eleven million, seven hundred twenty-eight thousand, nine hundred".