1000191845952 has 168 divisors, whose sum is σ = 3162701101560. Its totient is φ = 300245114880.

The previous prime is 1000191845897. The next prime is 1000191845953. The reversal of 1000191845952 is 2595481910001.

1000191845952 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 191 + 8 + 459 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24553636416 + 975638209536 = 156696^2 + 987744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000191845898 and 1000191845907.

It is not an unprimeable number, because it can be changed into a prime (1000191845953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321927 + ... + 1935942.

It is an arithmetic number, because the mean of its divisors is an integer number (18825601795).

Almost surely, 2^{1000191845952} is an apocalyptic number.

1000191845952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000191845952 is an abundant number, since it is smaller than the sum of its proper divisors (2162509255608).

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

1000191845952 is a wasteful number, since it uses less digits than its factorization.

1000191845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257941 (or 3257928 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1000191845952 in words is "one trillion, one hundred ninety-one million, eight hundred forty-five thousand, nine hundred fifty-two".