868225141094400 has 2880 divisors, whose sum is σ = 3593413855231200. Its totient is φ = 205901990461440.

The previous prime is 868225141094317. The next prime is 868225141094401. The reversal of 868225141094400 is 4490141522868.

868225141094400 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 2 + 5 + 141 + 0 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×868225141094400² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868225141094401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 794350540254 + ... + 794350541346.

Almost surely, 2^{868225141094400} is an apocalyptic number.

868225141094400 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 868225141094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796706927615600).

868225141094400 is an abundant number, since it is smaller than the sum of its proper divisors (2725188714136800).

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

868225141094400 is a wasteful number, since it uses less digits than its factorization.

868225141094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 868225141094400 in words is "eight hundred sixty-eight trillion, two hundred twenty-five billion, one hundred forty-one million, ninety-four thousand, four hundred".