83406625344 has 560 divisors, whose sum is σ = 290325657600. Its totient is φ = 23185419264.

The previous prime is 83406625333. The next prime is 83406625361. The reversal of 83406625344 is 44352660438.

It is a self number, because there is not a number n which added to its sum of digits gives 83406625344.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 348981577 + ... + 348981815.

Almost surely, 2^83406625344 is an apocalyptic number.

83406625344 is a gapful number since it is divisible by the number (84) 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 83406625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145162828800).

83406625344 is an abundant number, since it is smaller than the sum of its proper divisors (206919032256).

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

83406625344 is a wasteful number, since it uses less digits than its factorization.

83406625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 83406625344 in words is "eighty-three billion, four hundred six million, six hundred twenty-five thousand, three hundred forty-four".