39456640146 has 192 divisors, whose sum is σ = 102134836224. Its totient is φ = 10046332800.

The previous prime is 39456640109. The next prime is 39456640183. The reversal of 39456640146 is 64104665493.

It is an interprime number because it is at equal distance from previous prime (39456640109) and next prime (39456640183).

It is a super-2 number, since 2×39456640146² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39456640095 and 39456640104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52122000 + ... + 52122756.

It is an arithmetic number, because the mean of its divisors is an integer number (531952272).

Almost surely, 2^39456640146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39456640146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51067418112).

39456640146 is an abundant number, since it is smaller than the sum of its proper divisors (62678196078).

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

39456640146 is a wasteful number, since it uses less digits than its factorization.

39456640146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 39456640146 in words is "thirty-nine billion, four hundred fifty-six million, six hundred forty thousand, one hundred forty-six".