11447738742000 has 320 divisors, whose sum is σ = 40715149063680. Its totient is φ = 2744025856000.

The previous prime is 11447738741917. The next prime is 11447738742053. The reversal of 11447738742000 is 24783774411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4899559 + ... + 6848441.

It is an arithmetic number, because the mean of its divisors is an integer number (127234840824).

Almost surely, 2^{11447738742000} is an apocalyptic number.

11447738742000 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 11447738742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357574531840).

11447738742000 is an abundant number, since it is smaller than the sum of its proper divisors (29267410321680).

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

11447738742000 is a wasteful number, since it uses less digits than its factorization.

11447738742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949009 (or 1948993 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 11447738742000 in words is "eleven trillion, four hundred forty-seven billion, seven hundred thirty-eight million, seven hundred forty-two thousand".