8353149840 has 320 divisors, whose sum is σ = 33180019200. Its totient is φ = 1892007936.

The previous prime is 8353149809. The next prime is 8353149841. The reversal of 8353149840 is 489413538.

It is a super-2 number, since 2×8353149840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8353149841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706116 + ... + 1711004.

It is an arithmetic number, because the mean of its divisors is an integer number (103687560).

Almost surely, 2^8353149840 is an apocalyptic number.

8353149840 is a gapful number since it is divisible by the number (80) 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 8353149840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590009600).

8353149840 is an abundant number, since it is smaller than the sum of its proper divisors (24826869360).

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

8353149840 is a wasteful number, since it uses less digits than its factorization.

8353149840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8353149840 is about 91395.5679450596. The cubic root of 8353149840 is about 2029.0064329865.

The spelling of 8353149840 in words is "eight billion, three hundred fifty-three million, one hundred forty-nine thousand, eight hundred forty".