105479533006848 has 2496 divisors, whose sum is σ = 432721329868800. Its totient is φ = 24955182120960.

The previous prime is 105479533006811. The next prime is 105479533007033. The reversal of 105479533006848 is 848600335974501.

105479533006848 is a `hidden beast` number, since 1 + 0 + 5 + 479 + 53 + 30 + 0 + 6 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×105479533006848² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61218532515 + ... + 61218534237.

Almost surely, 2^{105479533006848} is an apocalyptic number.

105479533006848 is a gapful number since it is divisible by the number (18) 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 105479533006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216360664934400).

105479533006848 is an abundant number, since it is smaller than the sum of its proper divisors (327241796861952).

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

105479533006848 is a wasteful number, since it uses less digits than its factorization.

105479533006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 105479533006848 in words is "one hundred five trillion, four hundred seventy-nine billion, five hundred thirty-three million, six thousand, eight hundred forty-eight".