191209457795616 has 384 divisors, whose sum is σ = 636173180616960. Its totient is φ = 55351077912576.

The previous prime is 191209457795591. The next prime is 191209457795627. The reversal of 191209457795616 is 616597754902191.

191209457795616 is a `hidden beast` number, since 1 + 9 + 1 + 2 + 0 + 9 + 4 + 57 + 7 + 9 + 561 + 6 = 666.

It is a super-2 number, since 2×191209457795616² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488047995 + ... + 488439621.

It is an arithmetic number, because the mean of its divisors is an integer number (1656700991190).

Almost surely, 2^{191209457795616} is an apocalyptic number.

191209457795616 is a gapful number since it is divisible by the number (16) 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 191209457795616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318086590308480).

191209457795616 is an abundant number, since it is smaller than the sum of its proper divisors (444963722821344).

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

191209457795616 is a wasteful number, since it uses less digits than its factorization.

191209457795616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394233 (or 394219 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 72.

The spelling of 191209457795616 in words is "one hundred ninety-one trillion, two hundred nine billion, four hundred fifty-seven million, seven hundred ninety-five thousand, six hundred sixteen".