11348036700 has 1152 divisors, whose sum is σ = 48380903424. Its totient is φ = 1976832000.

The previous prime is 11348036629. The next prime is 11348036737. The reversal of 11348036700 is 763084311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 214113874 + ... + 214113926.

It is an arithmetic number, because the mean of its divisors is an integer number (41997312).

Almost surely, 2^11348036700 is an apocalyptic number.

11348036700 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 11348036700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24190451712).

11348036700 is an abundant number, since it is smaller than the sum of its proper divisors (37032866724).

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

11348036700 is a wasteful number, since it uses less digits than its factorization.

11348036700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 11348036700 in words is "eleven billion, three hundred forty-eight million, thirty-six thousand, seven hundred".