167545049616 has 320 divisors, whose sum is σ = 569407603200. Its totient is φ = 46151368704.

The previous prime is 167545049563. The next prime is 167545049653. The reversal of 167545049616 is 616940545761.

167545049616 is a `hidden beast` number, since 1 + 6 + 7 + 545 + 0 + 4 + 96 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101112660 + ... + 101114316.

It is an arithmetic number, because the mean of its divisors is an integer number (1779398760).

Almost surely, 2^167545049616 is an apocalyptic number.

167545049616 is a gapful number since it is divisible by the number (16) 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 167545049616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284703801600).

167545049616 is an abundant number, since it is smaller than the sum of its proper divisors (401862553584).

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

167545049616 is a wasteful number, since it uses less digits than its factorization.

167545049616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

It can be divided in two parts, 167545049 and 616, that added together give a triangular number (167545665 = T₁₈₃₀₅).

The spelling of 167545049616 in words is "one hundred sixty-seven billion, five hundred forty-five million, forty-nine thousand, six hundred sixteen".