901224312450 has 768 divisors, whose sum is σ = 3190167244800. Its totient is φ = 162437529600.

The previous prime is 901224312371. The next prime is 901224312451. The reversal of 901224312450 is 54213422109.

901224312450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×901224312450² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (901224312451) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 138030786 + ... + 138037314.

It is an arithmetic number, because the mean of its divisors is an integer number (4153863600).

Almost surely, 2^901224312450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901224312450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595083622400).

901224312450 is an abundant number, since it is smaller than the sum of its proper divisors (2288942932350).

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

901224312450 is a wasteful number, since it uses less digits than its factorization.

901224312450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 901224312450 its reverse (54213422109), we get a palindrome (955437734559).

The spelling of 901224312450 in words is "nine hundred one billion, two hundred twenty-four million, three hundred twelve thousand, four hundred fifty".