811454245920 has 192 divisors, whose sum is σ = 2853553207680. Its totient is φ = 215362022400.

The previous prime is 811454245919. The next prime is 811454245937. The reversal of 811454245920 is 29542454118.

811454245920 is a `hidden beast` number, since 8 + 1 + 1 + 4 + 54 + 2 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 466410 + ... + 1356630.

It is an arithmetic number, because the mean of its divisors is an integer number (14862256290).

Almost surely, 2^811454245920 is an apocalyptic number.

811454245920 is a gapful number since it is divisible by the number (80) 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 811454245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426776603840).

811454245920 is an abundant number, since it is smaller than the sum of its proper divisors (2042098961760).

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

811454245920 is a wasteful number, since it uses less digits than its factorization.

811454245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890456 (or 890442 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 811454245920 in words is "eight hundred eleven billion, four hundred fifty-four million, two hundred forty-five thousand, nine hundred twenty".