107294546852064 has 1152 divisors, whose sum is σ = 383950895731200. Its totient is φ = 28861574676480.

The previous prime is 107294546852039. The next prime is 107294546852081. The reversal of 107294546852064 is 460258645492701.

107294546852064 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 9 + 4 + 5 + 46 + 8 + 520 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107294546851992 and 107294546852010.

It is a congruent number.

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, 11970825247 + ... + 11970834209.

It is an arithmetic number, because the mean of its divisors is an integer number (333290708100).

Almost surely, 2^{107294546852064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107294546852064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191975447865600).

107294546852064 is an abundant number, since it is smaller than the sum of its proper divisors (276656348879136).

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

107294546852064 is a wasteful number, since it uses less digits than its factorization.

107294546852064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 107294546852064 in words is "one hundred seven trillion, two hundred ninety-four billion, five hundred forty-six million, eight hundred fifty-two thousand, sixty-four".