167897911104 has 896 divisors, whose sum is σ = 656612352000. Its totient is φ = 40728821760.

The previous prime is 167897911073. The next prime is 167897911141. The reversal of 167897911104 is 401119798761.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450128262 + ... + 450128634.

Almost surely, 2^167897911104 is an apocalyptic number.

167897911104 is a gapful number since it is divisible by the number (14) 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 167897911104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328306176000).

167897911104 is an abundant number, since it is smaller than the sum of its proper divisors (488714440896).

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

167897911104 is a wasteful number, since it uses less digits than its factorization.

167897911104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 167897911104 in words is "one hundred sixty-seven billion, eight hundred ninety-seven million, nine hundred eleven thousand, one hundred four".