916020289344 has 448 divisors, whose sum is σ = 2782702080000. Its totient is φ = 264168013824.

The previous prime is 916020289307. The next prime is 916020289391. The reversal of 916020289344 is 443982020619.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 916020289293 and 916020289302.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 289054992 + ... + 289058160.

Almost surely, 2^916020289344 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 916020289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391351040000).

916020289344 is an abundant number, since it is smaller than the sum of its proper divisors (1866681790656).

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

916020289344 is a wasteful number, since it uses less digits than its factorization.

916020289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 916020289344 in words is "nine hundred sixteen billion, twenty million, two hundred eighty-nine thousand, three hundred forty-four".