107798213115648 has 2592 divisors, whose sum is σ = 388820904536064. Its totient is φ = 28426567680000.

The previous prime is 107798213115643. The next prime is 107798213115683. The reversal of 107798213115648 is 846511312897701.

107798213115648 is a `hidden beast` number, since 10 + 7 + 7 + 9 + 8 + 21 + 31 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×107798213115648³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107798213115643) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 595570238118 + ... + 595570238298.

It is a 1-persistent number, because it is pandigital, but 2⋅107798213115648 = 215596426231296 is not.

Almost surely, 2^{107798213115648} is an apocalyptic number.

107798213115648 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 107798213115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194410452268032).

107798213115648 is an abundant number, since it is smaller than the sum of its proper divisors (281022691420416).

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

107798213115648 is a wasteful number, since it uses less digits than its factorization.

107798213115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 107798213115648 in words is "one hundred seven trillion, seven hundred ninety-eight billion, two hundred thirteen million, one hundred fifteen thousand, six hundred forty-eight".