167860961352 has 192 divisors, whose sum is σ = 537898682880. Its totient is φ = 46296354816.

The previous prime is 167860961347. The next prime is 167860961357. The reversal of 167860961352 is 253169068761.

167860961352 is a `hidden beast` number, since 16 + 7 + 8 + 6 + 0 + 9 + 613 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (167860961347) and next prime (167860961357).

It is not an unprimeable number, because it can be changed into a prime (167860961357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1680688 + ... + 1777760.

It is an arithmetic number, because the mean of its divisors is an integer number (2801555640).

Almost surely, 2^167860961352 is an apocalyptic number.

167860961352 is a gapful number since it is divisible by the number (12) 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 167860961352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268949341440).

167860961352 is an abundant number, since it is smaller than the sum of its proper divisors (370037721528).

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

167860961352 is a wasteful number, since it uses less digits than its factorization.

167860961352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97212 (or 97205 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 167860961352 in words is "one hundred sixty-seven billion, eight hundred sixty million, nine hundred sixty-one thousand, three hundred fifty-two".