901989918648 has 640 divisors, whose sum is σ = 3207934033920. Its totient is φ = 230443315200.

The previous prime is 901989918593. The next prime is 901989918667. The reversal of 901989918648 is 846819989109.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 322022848 + ... + 322025648.

It is an arithmetic number, because the mean of its divisors is an integer number (5012396928).

Almost surely, 2^901989918648 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 901989918648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603967016960).

901989918648 is an abundant number, since it is smaller than the sum of its proper divisors (2305944115272).

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

901989918648 is a wasteful number, since it uses less digits than its factorization.

901989918648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 72.

The spelling of 901989918648 in words is "nine hundred one billion, nine hundred eighty-nine million, nine hundred eighteen thousand, six hundred forty-eight".