90851635154133 has 64 divisors (see below), whose sum is σ = 156733326604800. Its totient is φ = 50933044131840.

The previous prime is 90851635154129. The next prime is 90851635154167. The reversal of 90851635154133 is 33145153615809.

It is a happy number.

90851635154133 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 1 + 63 + 5 + 1 + 541 + 33 = 666.

It is not a de Polignac number, because 90851635154133 - 2² = 90851635154129 is a prime.

It is a super-2 number, since 2×90851635154133² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90851635154133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90851635154233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201406903 + ... + 201857483.

It is an arithmetic number, because the mean of its divisors is an integer number (2448958228200).

Almost surely, 2^{90851635154133} is an apocalyptic number.

It is an amenable number.

90851635154133 is a deficient number, since it is larger than the sum of its proper divisors (65881691450667).

90851635154133 is a wasteful number, since it uses less digits than its factorization.

90851635154133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470779 (or 470773 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 90851635154133 in words is "ninety trillion, eight hundred fifty-one billion, six hundred thirty-five million, one hundred fifty-four thousand, one hundred thirty-three".