167479923456 has 252 divisors, whose sum is σ = 517415707200. Its totient is φ = 54023915520.

The previous prime is 167479923419. The next prime is 167479923493. The reversal of 167479923456 is 654329974761.

167479923456 is a `hidden beast` number, since 1 + 6 + 74 + 7 + 99 + 23 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (167479923419) and next prime (167479923493).

It is a junction number, because it is equal to n+sod(n) for n = 167479923393 and 167479923402.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5770870 + ... + 5799818.

Almost surely, 2^167479923456 is an apocalyptic number.

167479923456 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 167479923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258707853600).

167479923456 is an abundant number, since it is smaller than the sum of its proper divisors (349935783744).

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

167479923456 is an frugal number, since it uses more digits than its factorization.

167479923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29014 (or 28985 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 167479923456 in words is "one hundred sixty-seven billion, four hundred seventy-nine million, nine hundred twenty-three thousand, four hundred fifty-six".