107079392448 has 196 divisors, whose sum is σ = 364095700560. Its totient is φ = 30594018816.

The previous prime is 107079392383. The next prime is 107079392467. The reversal of 107079392448 is 844293970701.

107079392448 is a `hidden beast` number, since 107 + 0 + 7 + 9 + 3 + 92 + 448 = 666.

It is a super-2 number, since 2×107079392448² (a number of 23 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 = 107079392394 and 107079392403.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162658 + ... + 490526.

Almost surely, 2^107079392448 is an apocalyptic number.

107079392448 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 107079392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182047850280).

107079392448 is an abundant number, since it is smaller than the sum of its proper divisors (257016308112).

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

107079392448 is an frugal number, since it uses more digits than its factorization.

107079392448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327906 (or 327881 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 107079392448 in words is "one hundred seven billion, seventy-nine million, three hundred ninety-two thousand, four hundred forty-eight".