11478667734000 has 160 divisors (see below), whose sum is σ = 41119138831680. Its totient is φ = 3060978048000.

The previous prime is 11478667733983. The next prime is 11478667734029. The reversal of 11478667734000 is 43776687411.

It is a happy number.

11478667734000 is a `hidden beast` number, since 1 + 1 + 478 + 6 + 67 + 73 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106229961 + ... + 106337960.

It is an arithmetic number, because the mean of its divisors is an integer number (256994617698).

Almost surely, 2^{11478667734000} is an apocalyptic number.

11478667734000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11478667734000 is an abundant number, since it is smaller than the sum of its proper divisors (29640471097680).

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

11478667734000 is a wasteful number, since it uses less digits than its factorization.

11478667734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212567953 (or 212567931 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 11478667734000 in words is "eleven trillion, four hundred seventy-eight billion, six hundred sixty-seven million, seven hundred thirty-four thousand".