919790293968 has 400 divisors, whose sum is σ = 3448934670720. Its totient is φ = 229814019072.

The previous prime is 919790293963. The next prime is 919790293991. The reversal of 919790293968 is 869392097919.

919790293968 is a `hidden beast` number, since 9 + 197 + 90 + 293 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 919790293896 and 919790293905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919790293963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2035546 + ... + 2446022.

Almost surely, 2^919790293968 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 919790293968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724467335360).

919790293968 is an abundant number, since it is smaller than the sum of its proper divisors (2529144376752).

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

919790293968 is a wasteful number, since it uses less digits than its factorization.

919790293968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410536 (or 410521 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The spelling of 919790293968 in words is "nine hundred nineteen billion, seven hundred ninety million, two hundred ninety-three thousand, nine hundred sixty-eight".