906983562008160 has 768 divisors, whose sum is σ = 3909419104389120. Its totient is φ = 191245377576960.

The previous prime is 906983562008149. The next prime is 906983562008179. The reversal of 906983562008160 is 61800265389609.

906983562008160 is a `hidden beast` number, since 9 + 0 + 6 + 9 + 8 + 3 + 562 + 0 + 0 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 636535879 + ... + 637959161.

It is an arithmetic number, because the mean of its divisors is an integer number (5090389458840).

Almost surely, 2^{906983562008160} is an apocalyptic number.

906983562008160 is a gapful number since it is divisible by the number (90) 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 906983562008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954709552194560).

906983562008160 is an abundant number, since it is smaller than the sum of its proper divisors (3002435542380960).

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

906983562008160 is a wasteful number, since it uses less digits than its factorization.

906983562008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424948 (or 1424934 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 906983562008160 in words is "nine hundred six trillion, nine hundred eighty-three billion, five hundred sixty-two million, eight thousand, one hundred sixty".