83745577890121 has 27 divisors (see below), whose sum is σ = 98815106182503. Its totient is φ = 70767067363440.

The previous prime is 83745577890113. The next prime is 83745577890181. The reversal of 83745577890121 is 12109877554738.

The square root of 83745577890121 is 9151261.

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

It can be written as a sum of positive squares in only one way, i.e., 21988549748025 + 61757028142096 = 4689195^2 + 7858564^2 .

It is not a de Polignac number, because 83745577890121 - 2³ = 83745577890113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83745577890181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4548167511 + ... + 4548185923.

Almost surely, 2^{83745577890121} is an apocalyptic number.

83745577890121 is the 9151261-st square number.

83745577890121 is the 4575631-st centered octagonal number.

It is an amenable number.

83745577890121 is a deficient number, since it is larger than the sum of its proper divisors (15069528292382).

83745577890121 is an frugal number, since it uses more digits than its factorization.

83745577890121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36982 (or 18491 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 67.

The spelling of 83745577890121 in words is "eighty-three trillion, seven hundred forty-five billion, five hundred seventy-seven million, eight hundred ninety thousand, one hundred twenty-one".