901993433856 has 144 divisors (see below), whose sum is σ = 2537549145600. Its totient is φ = 283647135744.

The previous prime is 901993433813. The next prime is 901993433909. The reversal of 901993433856 is 658334399109.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 901993433856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3358170 + ... + 3616806.

Almost surely, 2^901993433856 is an apocalyptic number.

901993433856 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 901993433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268774572800).

901993433856 is an abundant number, since it is smaller than the sum of its proper divisors (1635555711744).

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

901993433856 is a wasteful number, since it uses less digits than its factorization.

901993433856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258914 (or 258900 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 60.

The spelling of 901993433856 in words is "nine hundred one billion, nine hundred ninety-three million, four hundred thirty-three thousand, eight hundred fifty-six".