83435477904 has 45 divisors (see below), whose sum is σ = 233513156539. Its totient is φ = 27810670560.

The previous prime is 83435477887. The next prime is 83435477927. The reversal of 83435477904 is 40977453438.

The square root of 83435477904 is 288852.

It is a perfect power (a square), and thus also a powerful number.

83435477904 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 547 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×83435477904² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 3454189 + ... + 3478259.

Almost surely, 2^83435477904 is an apocalyptic number.

83435477904 is the 288852-nd square number.

It is an amenable number.

83435477904 is an abundant number, since it is smaller than the sum of its proper divisors (150077678635).

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

83435477904 is an frugal number, since it uses more digits than its factorization.

83435477904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48156 (or 24076 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 83435477904 in words is "eighty-three billion, four hundred thirty-five million, four hundred seventy-seven thousand, nine hundred four".