90101243340144 has 160 divisors (see below), whose sum is σ = 263583155669760. Its totient is φ = 29458180806912.

The previous prime is 90101243340131. The next prime is 90101243340149. The reversal of 90101243340144 is 44104334210109.

90101243340144 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 1 + 243 + 3 + 401 + 4 + 4 = 666.

It is a super-3 number, since 3×90101243340144³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90101243340099 and 90101243340108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90101243340149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75491287 + ... + 76675529.

It is an arithmetic number, because the mean of its divisors is an integer number (1647394722936).

Almost surely, 2^{90101243340144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90101243340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131791577834880).

90101243340144 is an abundant number, since it is smaller than the sum of its proper divisors (173481912329616).

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

90101243340144 is a wasteful number, since it uses less digits than its factorization.

90101243340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187636 (or 1187624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 90101243340144 in words is "ninety trillion, one hundred one billion, two hundred forty-three million, three hundred forty thousand, one hundred forty-four".