104614623640800 has 3456 divisors, whose sum is σ = 516173212800000. Its totient is φ = 20188297543680.

The previous prime is 104614623640799. The next prime is 104614623640811. The reversal of 104614623640800 is 8046326416401.

104614623640800 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 4 + 6 + 236 + 408 + 0 + 0 = 666.

It is a super-3 number, since 3×104614623640800³ (a number of 43 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7581312301 + ... + 7581326099.

It is an arithmetic number, because the mean of its divisors is an integer number (149355675000).

Almost surely, 2^{104614623640800} is an apocalyptic number.

104614623640800 is a gapful number since it is divisible by the number (10) 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 104614623640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258086606400000).

104614623640800 is an abundant number, since it is smaller than the sum of its proper divisors (411558589159200).

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

104614623640800 is a wasteful number, since it uses less digits than its factorization.

104614623640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 104614623640800 in words is "one hundred four trillion, six hundred fourteen billion, six hundred twenty-three million, six hundred forty thousand, eight hundred".