64125248949 has 12 divisors (see below), whose sum is σ = 95819337900. Its totient is φ = 41276022144.

The previous prime is 64125248947. The next prime is 64125248951. The reversal of 64125248949 is 94984252146.

64125248949 is a `hidden beast` number, since 64 + 12 + 52 + 489 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (64125248947) and next prime (64125248951).

It can be written as a sum of positive squares in 2 ways, for example, as 10103868324 + 54021380625 = 100518^2 + 232425^2 .

It is not a de Polignac number, because 64125248949 - 2¹ = 64125248947 is a prime.

It is a super-2 number, since 2×64125248949² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64125248895 and 64125248904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64125248947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122845044 + ... + 122845565.

It is an arithmetic number, because the mean of its divisors is an integer number (7984944825).

Almost surely, 2^64125248949 is an apocalyptic number.

It is an amenable number.

64125248949 is a deficient number, since it is larger than the sum of its proper divisors (31694088951).

64125248949 is a wasteful number, since it uses less digits than its factorization.

64125248949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245690644 (or 245690641 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 64125248949 in words is "sixty-four billion, one hundred twenty-five million, two hundred forty-eight thousand, nine hundred forty-nine".