199426604465088 has 2240 divisors, whose sum is σ = 820322226662400. Its totient is φ = 46234976256000.

The previous prime is 199426604465069. The next prime is 199426604465149. The reversal of 199426604465088 is 880564406624991.

199426604465088 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 2 + 6 + 604 + 4 + 6 + 5 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×199426604465088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22536621688 + ... + 22536630536.

It is an arithmetic number, because the mean of its divisors is an integer number (366215279760).

Almost surely, 2^{199426604465088} is an apocalyptic number.

199426604465088 is a gapful number since it is divisible by the number (18) 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 199426604465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410161113331200).

199426604465088 is an abundant number, since it is smaller than the sum of its proper divisors (620895622197312).

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

199426604465088 is a wasteful number, since it uses less digits than its factorization.

199426604465088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 199426604465088 in words is "one hundred ninety-nine trillion, four hundred twenty-six billion, six hundred four million, four hundred sixty-five thousand, eighty-eight".