83480544900 has 81 divisors (see below), whose sum is σ = 261692302053. Its totient is φ = 22259167200.

The previous prime is 83480544863. The next prime is 83480544919. The reversal of 83480544900 is 944508438.

It is a happy number.

The square root of 83480544900 is 288930.

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

83480544900 is a `hidden beast` number, since 8 + 34 + 80 + 54 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30052996164 + 53427548736 = 173358^2 + 231144^2 .

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

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 26 ways as a sum of consecutive naturals, for example, 8663085 + ... + 8672715.

Almost surely, 2^83480544900 is an apocalyptic number.

83480544900 is the 288930-th square number.

It is an amenable number.

83480544900 is an abundant number, since it is smaller than the sum of its proper divisors (178211757153).

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

83480544900 is an equidigital number, since it uses as much as digits as its factorization.

83480544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19282 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 83480544900 in words is "eighty-three billion, four hundred eighty million, five hundred forty-four thousand, nine hundred".