90891254354901 has 64 divisors (see below), whose sum is σ = 162716383119360. Its totient is φ = 43583690269440.

The previous prime is 90891254354839. The next prime is 90891254354909. The reversal of 90891254354901 is 10945345219809.

It is a happy number.

It is not a de Polignac number, because 90891254354901 - 2¹³ = 90891254346709 is a prime.

It is a super-2 number, since 2×90891254354901² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90891254354909) 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, 377666115 + ... + 377906703.

It is an arithmetic number, because the mean of its divisors is an integer number (2542443486240).

Almost surely, 2^{90891254354901} is an apocalyptic number.

90891254354901 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90891254354901 is a deficient number, since it is larger than the sum of its proper divisors (71825128764459).

90891254354901 is a wasteful number, since it uses less digits than its factorization.

90891254354901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366426.

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 90891254354901 in words is "ninety trillion, eight hundred ninety-one billion, two hundred fifty-four million, three hundred fifty-four thousand, nine hundred one".