153933633814068 has 72 divisors (see below), whose sum is σ = 389187157177728. Its totient is φ = 51301040419008.

The previous prime is 153933633814039. The next prime is 153933633814097. The reversal of 153933633814068 is 860418336339351.

153933633814068 is a `hidden beast` number, since 1 + 5 + 3 + 93 + 3 + 63 + 3 + 81 + 406 + 8 = 666.

153933633814068 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153933633814039) and next prime (153933633814097).

It is a junction number, because it is equal to n+sod(n) for n = 153933633813996 and 153933633814014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7071870121 + ... + 7071891887.

It is an arithmetic number, because the mean of its divisors is an integer number (5405377183024).

Almost surely, 2^{153933633814068} is an apocalyptic number.

153933633814068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153933633814068 is an abundant number, since it is smaller than the sum of its proper divisors (235253523363660).

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

153933633814068 is a wasteful number, since it uses less digits than its factorization.

153933633814068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51693 (or 51688 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 153933633814068 in words is "one hundred fifty-three trillion, nine hundred thirty-three billion, six hundred thirty-three million, eight hundred fourteen thousand, sixty-eight".