83460898816 has 135 divisors (see below), whose sum is σ = 174408288327. Its totient is φ = 39936983040.

The previous prime is 83460898811. The next prime is 83460898831. The reversal of 83460898816 is 61889806438.

The square root of 83460898816 is 288896.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1838694400 + 81622204416 = 42880^2 + 285696^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83460898811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1368211426 + ... + 1368211486.

Almost surely, 2^83460898816 is an apocalyptic number.

83460898816 is the 288896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83460898816

83460898816 is an abundant number, since it is smaller than the sum of its proper divisors (90947389511).

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

83460898816 is an frugal number, since it uses more digits than its factorization.

83460898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 83460898816 in words is "eighty-three billion, four hundred sixty million, eight hundred ninety-eight thousand, eight hundred sixteen".