35340178099968 has 288 divisors, whose sum is σ = 122214318195200. Its totient is φ = 9862374703104.

The previous prime is 35340178099937. The next prime is 35340178100009. The reversal of 35340178099968 is 86999087104353.

35340178099968 is a `hidden beast` number, since 3 + 5 + 3 + 401 + 78 + 0 + 9 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35340178099896 and 35340178099905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6412633 + ... + 10573656.

Almost surely, 2^{35340178099968} is an apocalyptic number.

It is an amenable number.

35340178099968 is an abundant number, since it is smaller than the sum of its proper divisors (86874140095232).

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

35340178099968 is a wasteful number, since it uses less digits than its factorization.

35340178099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16986364 (or 16986344 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 35340178099968 in words is "thirty-five trillion, three hundred forty billion, one hundred seventy-eight million, ninety-nine thousand, nine hundred sixty-eight".