8154228096000 has 2816 divisors, whose sum is σ = 36257312931840. Its totient is φ = 1768366080000.

The previous prime is 8154228095999. The next prime is 8154228096013. The reversal of 8154228096000 is 6908224518.

8154228096000 is a `hidden beast` number, since 8 + 15 + 4 + 2 + 28 + 0 + 9 + 600 + 0 = 666.

It is a super-4 number, since 4×8154228096000⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62246015935 + ... + 62246016065.

It is an arithmetic number, because the mean of its divisors is an integer number (12875466240).

Almost surely, 2^{8154228096000} is an apocalyptic number.

8154228096000 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 8154228096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128656465920).

8154228096000 is an abundant number, since it is smaller than the sum of its proper divisors (28103084835840).

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

8154228096000 is a wasteful number, since it uses less digits than its factorization.

8154228096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 8154228096000 in words is "eight trillion, one hundred fifty-four billion, two hundred twenty-eight million, ninety-six thousand".