107454553468416 has 4320 divisors, whose sum is σ = 439386853441536. Its totient is φ = 26073015091200.

The previous prime is 107454553468411. The next prime is 107454553468459. The reversal of 107454553468416 is 614864355454701.

107454553468416 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 4 + 5 + 534 + 6 + 84 + 16 = 666.

107454553468416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107454553468416² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107454553468411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 846098846145 + ... + 846098846271.

Almost surely, 2^{107454553468416} is an apocalyptic number.

107454553468416 is a gapful number since it is divisible by the number (16) 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 107454553468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219693426720768).

107454553468416 is an abundant number, since it is smaller than the sum of its proper divisors (331932299973120).

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

107454553468416 is a wasteful number, since it uses less digits than its factorization.

107454553468416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 107454553468416 in words is "one hundred seven trillion, four hundred fifty-four billion, five hundred fifty-three million, four hundred sixty-eight thousand, four hundred sixteen".