90901551441 has 32 divisors (see below), whose sum is σ = 130760294400. Its totient is φ = 56006596800.

The previous prime is 90901551413. The next prime is 90901551443. The reversal of 90901551441 is 14415510909.

It is a de Polignac number, because none of the positive numbers 2^k-90901551441 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90901551441.

It is not an unprimeable number, because it can be changed into a prime (90901551443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316035 + ... + 1383383.

It is an arithmetic number, because the mean of its divisors is an integer number (4086259200).

Almost surely, 2^90901551441 is an apocalyptic number.

It is an amenable number.

90901551441 is a deficient number, since it is larger than the sum of its proper divisors (39858742959).

90901551441 is a wasteful number, since it uses less digits than its factorization.

90901551441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68037.

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 90901551441 in words is "ninety billion, nine hundred one million, five hundred fifty-one thousand, four hundred forty-one".