104871616484544 has 3024 divisors, whose sum is σ = 412081644768768. Its totient is φ = 25870816198656.

The previous prime is 104871616484519. The next prime is 104871616484599. The reversal of 104871616484544 is 445484616178401.

104871616484544 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 1 + 6 + 1 + 6 + 4 + 84 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 765486251644 + ... + 765486251780.

Almost surely, 2^{104871616484544} is an apocalyptic number.

104871616484544 is a gapful number since it is divisible by the number (14) 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 104871616484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206040822384384).

104871616484544 is an abundant number, since it is smaller than the sum of its proper divisors (307210028284224).

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

104871616484544 is an equidigital number, since it uses as much as digits as its factorization.

104871616484544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 104871616484544 in words is "one hundred four trillion, eight hundred seventy-one billion, six hundred sixteen million, four hundred eighty-four thousand, five hundred forty-four".