90142963414686 has 256 divisors, whose sum is σ = 255465703342080. Its totient is φ = 22919576641920.

The previous prime is 90142963414663. The next prime is 90142963414687. The reversal of 90142963414686 is 68641436924109.

It is a happy number.

90142963414686 is a `hidden beast` number, since 9 + 0 + 1 + 42 + 96 + 3 + 41 + 468 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90142963414687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38938851 + ... + 41188833.

It is an arithmetic number, because the mean of its divisors is an integer number (997912903680).

Almost surely, 2^{90142963414686} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90142963414686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127732851671040).

90142963414686 is an abundant number, since it is smaller than the sum of its proper divisors (165322739927394).

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

90142963414686 is a wasteful number, since it uses less digits than its factorization.

90142963414686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250308 (or 2250302 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 90142963414686 in words is "ninety trillion, one hundred forty-two billion, nine hundred sixty-three million, four hundred fourteen thousand, six hundred eighty-six".