919450828800000 has 4320 divisors, whose sum is σ = 4067740257710976. Its totient is φ = 202569154560000.

The previous prime is 919450828799981. The next prime is 919450828800139. The reversal of 919450828800000 is 8828054919.

919450828800000 is a `hidden beast` number, since 91 + 9 + 450 + 8 + 28 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-4 number, since 4×919450828800000⁴ (a number of 61 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 919450828800000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8592998399947 + ... + 8592998400053.

Almost surely, 2^{919450828800000} is an apocalyptic number.

919450828800000 is a gapful number since it is divisible by the number (90) 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 919450828800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033870128855488).

919450828800000 is an abundant number, since it is smaller than the sum of its proper divisors (3148289428910976).

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

919450828800000 is an frugal number, since it uses more digits than its factorization.

919450828800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 919450828800000 in words is "nine hundred nineteen trillion, four hundred fifty billion, eight hundred twenty-eight million, eight hundred thousand".