901899330748416 has 6912 divisors, whose sum is σ = 4000510738713600. Its totient is φ = 198250227302400.

The previous prime is 901899330748387. The next prime is 901899330748457. The reversal of 901899330748416 is 614847033998109.

901899330748416 is a `hidden beast` number, since 9 + 0 + 1 + 89 + 93 + 3 + 0 + 7 + 48 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 431 ways as a sum of consecutive naturals, for example, 29093526798321 + ... + 29093526798351.

It is an arithmetic number, because the mean of its divisors is an integer number (578777595300).

Almost surely, 2^{901899330748416} is an apocalyptic number.

901899330748416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901899330748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000255369356800).

901899330748416 is an abundant number, since it is smaller than the sum of its proper divisors (3098611407965184).

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

901899330748416 is a wasteful number, since it uses less digits than its factorization.

901899330748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 901899330748416 in words is "nine hundred one trillion, eight hundred ninety-nine billion, three hundred thirty million, seven hundred forty-eight thousand, four hundred sixteen".