1211381474688 has 1280 divisors, whose sum is σ = 4638617280000. Its totient is φ = 311078154240.

The previous prime is 1211381474683. The next prime is 1211381474689. The reversal of 1211381474688 is 8864741831121.

It is a happy number.

1211381474688 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 38 + 147 + 468 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211381474683) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6767494183 + ... + 6767494361.

It is an arithmetic number, because the mean of its divisors is an integer number (3623919750).

Almost surely, 2^{1211381474688} is an apocalyptic number.

1211381474688 is a gapful number since it is divisible by the number (18) 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 1211381474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319308640000).

1211381474688 is an abundant number, since it is smaller than the sum of its proper divisors (3427235805312).

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

1211381474688 is a wasteful number, since it uses less digits than its factorization.

1211381474688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 1211381474688 in words is "one trillion, two hundred eleven billion, three hundred eighty-one million, four hundred seventy-four thousand, six hundred eighty-eight".