919609137216 has 672 divisors, whose sum is σ = 3409134842880. Its totient is φ = 229978828800.

The previous prime is 919609137143. The next prime is 919609137221. The reversal of 919609137216 is 612731906919.

919609137216 is a `hidden beast` number, since 9 + 1 + 9 + 609 + 1 + 3 + 7 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×919609137216³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 600658371 + ... + 600659901.

Almost surely, 2^919609137216 is an apocalyptic number.

919609137216 is a gapful number since it is divisible by the number (96) 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 919609137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704567421440).

919609137216 is an abundant number, since it is smaller than the sum of its proper divisors (2489525705664).

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

919609137216 is a wasteful number, since it uses less digits than its factorization.

919609137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 919609137216 in words is "nine hundred nineteen billion, six hundred nine million, one hundred thirty-seven thousand, two hundred sixteen".