598102261416 has 480 divisors, whose sum is σ = 1920036518400. Its totient is φ = 173620972800.

The previous prime is 598102261373. The next prime is 598102261417. The reversal of 598102261416 is 614162201895.

598102261416 is a `hidden beast` number, since 5 + 9 + 8 + 1 + 0 + 22 + 614 + 1 + 6 = 666.

It is a super-2 number, since 2×598102261416² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (598102261417) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 250355550 + ... + 250357938.

It is an arithmetic number, because the mean of its divisors is an integer number (4000076080).

Almost surely, 2^598102261416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598102261416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960018259200).

598102261416 is an abundant number, since it is smaller than the sum of its proper divisors (1321934256984).

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

598102261416 is a wasteful number, since it uses less digits than its factorization.

598102261416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 598102261416 in words is "five hundred ninety-eight billion, one hundred two million, two hundred sixty-one thousand, four hundred sixteen".