11334869700 has 288 divisors, whose sum is σ = 41008708608. Its totient is φ = 2348352000.

The previous prime is 11334869659. The next prime is 11334869771. The reversal of 11334869700 is 796843311.

It is a super-2 number, since 2×11334869700² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12496647 + ... + 12497553.

Almost surely, 2^11334869700 is an apocalyptic number.

11334869700 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 11334869700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504354304).

11334869700 is an abundant number, since it is smaller than the sum of its proper divisors (29673838908).

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

11334869700 is a wasteful number, since it uses less digits than its factorization.

11334869700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 11334869700 in words is "eleven billion, three hundred thirty-four million, eight hundred sixty-nine thousand, seven hundred".