165226398480 has 400 divisors, whose sum is σ = 674183974464. Its totient is φ = 36973532160.

The previous prime is 165226398479. The next prime is 165226398527. The reversal of 165226398480 is 84893622561.

165226398480 is a `hidden beast` number, since 1 + 6 + 52 + 26 + 3 + 98 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 837487 + ... + 1015793.

Almost surely, 2^165226398480 is an apocalyptic number.

165226398480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165226398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337091987232).

165226398480 is an abundant number, since it is smaller than the sum of its proper divisors (508957575984).

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

165226398480 is a wasteful number, since it uses less digits than its factorization.

165226398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178356 (or 178341 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 165226398480 in words is "one hundred sixty-five billion, two hundred twenty-six million, three hundred ninety-eight thousand, four hundred eighty".