199777453344 has 144 divisors (see below), whose sum is σ = 649527802560. Its totient is φ = 57057200640.

The previous prime is 199777453301. The next prime is 199777453417. The reversal of 199777453344 is 443354777991.

199777453344 is a `hidden beast` number, since 1 + 9 + 97 + 7 + 7 + 4 + 533 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×199777453344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5604859 + ... + 5640389.

It is an arithmetic number, because the mean of its divisors is an integer number (4510609740).

Almost surely, 2^199777453344 is an apocalyptic number.

199777453344 is a gapful number since it is divisible by the number (14) 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 199777453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324763901280).

199777453344 is an abundant number, since it is smaller than the sum of its proper divisors (449750349216).

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

199777453344 is a wasteful number, since it uses less digits than its factorization.

199777453344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38343 (or 38332 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 199777453344 in words is "one hundred ninety-nine billion, seven hundred seventy-seven million, four hundred fifty-three thousand, three hundred forty-four".