11738643840 has 1152 divisors, whose sum is σ = 54419040000. Its totient is φ = 2299207680.

The previous prime is 11738643823. The next prime is 11738643841. The reversal of 11738643840 is 4834683711.

11738643840 is a `hidden beast` number, since 1 + 173 + 8 + 6 + 438 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11738643841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58988061 + ... + 58988259.

It is an arithmetic number, because the mean of its divisors is an integer number (47238750).

Almost surely, 2^11738643840 is an apocalyptic number.

11738643840 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 11738643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520000).

11738643840 is an abundant number, since it is smaller than the sum of its proper divisors (42680396160).

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

11738643840 is a wasteful number, since it uses less digits than its factorization.

11738643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11738643840 in words is "eleven billion, seven hundred thirty-eight million, six hundred forty-three thousand, eight hundred forty".