11397446346000 has 1280 divisors, whose sum is σ = 43983672864768. Its totient is φ = 2502752256000.

The previous prime is 11397446345921. The next prime is 11397446346007. The reversal of 11397446346000 is 64364479311.

11397446346000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11397446346007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17725421679 + ... + 17725422321.

Almost surely, 2^{11397446346000} is an apocalyptic number.

11397446346000 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 11397446346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21991836432384).

11397446346000 is an abundant number, since it is smaller than the sum of its proper divisors (32586226518768).

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

11397446346000 is a wasteful number, since it uses less digits than its factorization.

11397446346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 11397446346000 in words is "eleven trillion, three hundred ninety-seven billion, four hundred forty-six million, three hundred forty-six thousand".