107008355346048 has 320 divisors, whose sum is σ = 342141271012800. Its totient is φ = 32925617427456.

The previous prime is 107008355346043. The next prime is 107008355346073. The reversal of 107008355346048 is 840643553800701.

107008355346048 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 0 + 8 + 3 + 5 + 534 + 60 + 48 = 666.

It is a super-2 number, since 2×107008355346048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 107008355345985 and 107008355346003.

It is not an unprimeable number, because it can be changed into a prime (107008355346043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98164765 + ... + 99248867.

It is an arithmetic number, because the mean of its divisors is an integer number (1069191471915).

Almost surely, 2^{107008355346048} is an apocalyptic number.

107008355346048 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 107008355346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171070635506400).

107008355346048 is an abundant number, since it is smaller than the sum of its proper divisors (235132915666752).

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

107008355346048 is an frugal number, since it uses more digits than its factorization.

107008355346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084178 (or 1084121 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 107008355346048 in words is "one hundred seven trillion, eight billion, three hundred fifty-five million, three hundred forty-six thousand, forty-eight".