11734458400 has 72 divisors (see below), whose sum is σ = 32739154560. Its totient is φ = 4023240960.

The previous prime is 11734458371. The next prime is 11734458409. The reversal of 11734458400 is 485443711.

It is a self number, because there is not a number n which added to its sum of digits gives 11734458400.

It is not an unprimeable number, because it can be changed into a prime (11734458409) 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, 1042120 + ... + 1053319.

It is an arithmetic number, because the mean of its divisors is an integer number (454710480).

Almost surely, 2^11734458400 is an apocalyptic number.

11734458400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11734458400 is an abundant number, since it is smaller than the sum of its proper divisors (21004696160).

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

11734458400 is a wasteful number, since it uses less digits than its factorization.

11734458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095466 (or 2095453 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 11734458400 in words is "eleven billion, seven hundred thirty-four million, four hundred fifty-eight thousand, four hundred".