83745600654738 has 64 divisors (see below), whose sum is σ = 192116944264320. Its totient is φ = 24100691865600.

The previous prime is 83745600654731. The next prime is 83745600654763.

83745600654738 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (83745600654731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358524495 + ... + 358758002.

It is an arithmetic number, because the mean of its divisors is an integer number (3001827254130).

Almost surely, 2^{83745600654738} is an apocalyptic number.

83745600654738 is an abundant number, since it is smaller than the sum of its proper divisors (108371343609582).

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

83745600654738 is a wasteful number, since it uses less digits than its factorization.

83745600654738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717282603.

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 83745600654738 in words is "eighty-three trillion, seven hundred forty-five billion, six hundred million, six hundred fifty-four thousand, seven hundred thirty-eight".