48814346007 has 120 divisors (see below), whose sum is σ = 87247050000. Its totient is φ = 27104523264.

The previous prime is 48814345999. The next prime is 48814346017. The reversal of 48814346007 is 70064341884.

48814346007 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 4 + 34 + 600 + 7 = 666.

It is not a de Polignac number, because 48814346007 - 2³ = 48814345999 is a prime.

It is a super-2 number, since 2×48814346007² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48814346017) 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 119 ways as a sum of consecutive naturals, for example, 39082119 + ... + 39083367.

It is an arithmetic number, because the mean of its divisors is an integer number (727058750).

Almost surely, 2^48814346007 is an apocalyptic number.

48814346007 is a deficient number, since it is larger than the sum of its proper divisors (38432703993).

48814346007 is a wasteful number, since it uses less digits than its factorization.

48814346007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48814346007 in words is "forty-eight billion, eight hundred fourteen million, three hundred forty-six thousand, seven".