107009952946848 has 1008 divisors, whose sum is σ = 370101246114600. Its totient is φ = 30353805361152.

The previous prime is 107009952946807. The next prime is 107009952946903. The reversal of 107009952946848 is 848649259900701.

107009952946848 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 0 + 99 + 529 + 4 + 6 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93158247029904 + 13851705916944 = 9651852^2 + 3721788^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×107009952946848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 124865755636 + ... + 124865756492.

Almost surely, 2^{107009952946848} is an apocalyptic number.

107009952946848 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 107009952946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185050623057300).

107009952946848 is an abundant number, since it is smaller than the sum of its proper divisors (263091293167752).

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

107009952946848 is an equidigital number, since it uses as much as digits as its factorization.

107009952946848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 107009952946848 in words is "one hundred seven trillion, nine billion, nine hundred fifty-two million, nine hundred forty-six thousand, eight hundred forty-eight".