861348104064000 has 4224 divisors, whose sum is σ = 3882968393840640. Its totient is φ = 187410972672000.

The previous prime is 861348104063813. The next prime is 861348104064013. The reversal of 861348104064000 is 460401843168.

861348104064000 is a `hidden beast` number, since 8 + 6 + 134 + 8 + 104 + 0 + 6 + 400 + 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1094470271607 + ... + 1094470272393.

Almost surely, 2^{861348104064000} is an apocalyptic number.

861348104064000 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 861348104064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941484196920320).

861348104064000 is an abundant number, since it is smaller than the sum of its proper divisors (3021620289776640).

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

861348104064000 is a wasteful number, since it uses less digits than its factorization.

861348104064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 861348104064000 in words is "eight hundred sixty-one trillion, three hundred forty-eight billion, one hundred four million, sixty-four thousand".