190967545139904 has 672 divisors, whose sum is σ = 635215989408000. Its totient is φ = 54348044083200.

The previous prime is 190967545139887. The next prime is 190967545139951. The reversal of 190967545139904 is 409931545769091.

190967545139904 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 67 + 545 + 13 + 9 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×190967545139904² (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 95 ways as a sum of consecutive naturals, for example, 17441545822 + ... + 17441556770.

It is an arithmetic number, because the mean of its divisors is an integer number (945261889000).

Almost surely, 2^{190967545139904} 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 190967545139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317607994704000).

190967545139904 is an abundant number, since it is smaller than the sum of its proper divisors (444248444268096).

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

190967545139904 is a wasteful number, since it uses less digits than its factorization.

190967545139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13880 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 190967545139904 in words is "one hundred ninety trillion, nine hundred sixty-seven billion, five hundred forty-five million, one hundred thirty-nine thousand, nine hundred four".