104630491480320 has 3456 divisors, whose sum is σ = 449530895923200. Its totient is φ = 23051605377024.

The previous prime is 104630491480211. The next prime is 104630491480451. The reversal of 104630491480320 is 23084194036401.

104630491480320 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 304 + 9 + 14 + 8 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×104630491480320² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 145522240921 + ... + 145522241639.

It is an arithmetic number, because the mean of its divisors is an integer number (130072597200).

Almost surely, 2^{104630491480320} is an apocalyptic number.

104630491480320 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 104630491480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224765447961600).

104630491480320 is an abundant number, since it is smaller than the sum of its proper divisors (344900404442880).

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

104630491480320 is a wasteful number, since it uses less digits than its factorization.

104630491480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 104630491480320 in words is "one hundred four trillion, six hundred thirty billion, four hundred ninety-one million, four hundred eighty thousand, three hundred twenty".