90142418049957 has 288 divisors, whose sum is σ = 174080301158400. Its totient is φ = 44689296008448.

The previous prime is 90142418049949. The next prime is 90142418049979. The reversal of 90142418049957 is 75994081424109.

90142418049957 is a `hidden beast` number, since 9 + 0 + 1 + 424 + 1 + 80 + 49 + 95 + 7 = 666.

It is not a de Polignac number, because 90142418049957 - 2³ = 90142418049949 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 90142418049894 and 90142418049903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90142418049757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2337880923 + ... + 2337919479.

Almost surely, 2^{90142418049957} is an apocalyptic number.

It is an amenable number.

90142418049957 is a deficient number, since it is larger than the sum of its proper divisors (83937883108443).

90142418049957 is a wasteful number, since it uses less digits than its factorization.

90142418049957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38762 (or 38726 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 90142418049957 in words is "ninety trillion, one hundred forty-two billion, four hundred eighteen million, forty-nine thousand, nine hundred fifty-seven".