134412942717648 has 1440 divisors, whose sum is σ = 481804412544000. Its totient is φ = 34752907284480.

The previous prime is 134412942717623. The next prime is 134412942717701. The reversal of 134412942717648 is 846717249214431.

134412942717648 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 294 + 271 + 76 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65921010613 + ... + 65921012651.

It is an arithmetic number, because the mean of its divisors is an integer number (334586397600).

Almost surely, 2^{134412942717648} is an apocalyptic number.

134412942717648 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 134412942717648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240902206272000).

134412942717648 is an abundant number, since it is smaller than the sum of its proper divisors (347391469826352).

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

134412942717648 is a wasteful number, since it uses less digits than its factorization.

134412942717648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2357 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 134412942717648 in words is "one hundred thirty-four trillion, four hundred twelve billion, nine hundred forty-two million, seven hundred seventeen thousand, six hundred forty-eight".