233630347673142 has 256 divisors, whose sum is σ = 599682134016000. Its totient is φ = 66042722528640.

The previous prime is 233630347673087. The next prime is 233630347673147. The reversal of 233630347673142 is 241376743036332.

233630347673142 is a `hidden beast` number, since 2 + 3 + 3 + 63 + 0 + 3 + 476 + 73 + 1 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233630347673147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22799872663 + ... + 22799882909.

It is an arithmetic number, because the mean of its divisors is an integer number (2342508336000).

Almost surely, 2^{233630347673142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233630347673142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299841067008000).

233630347673142 is an abundant number, since it is smaller than the sum of its proper divisors (366051786342858).

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

233630347673142 is a wasteful number, since it uses less digits than its factorization.

233630347673142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 54.

The spelling of 233630347673142 in words is "two hundred thirty-three trillion, six hundred thirty billion, three hundred forty-seven million, six hundred seventy-three thousand, one hundred forty-two".