1930451691168 has 1800 divisors, whose sum is σ = 7908250220640. Its totient is φ = 452081710080.

The previous prime is 1930451691079. The next prime is 1930451691239. The reversal of 1930451691168 is 8611961540391.

1930451691168 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 4 + 516 + 9 + 116 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 44894225355 + ... + 44894225397.

Almost surely, 2^{1930451691168} is an apocalyptic number.

1930451691168 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 1930451691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954125110320).

1930451691168 is an abundant number, since it is smaller than the sum of its proper divisors (5977798529472).

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

1930451691168 is an equidigital number, since it uses as much as digits as its factorization.

1930451691168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1930451691168 in words is "one trillion, nine hundred thirty billion, four hundred fifty-one million, six hundred ninety-one thousand, one hundred sixty-eight".