167339400399126 has 480 divisors, whose sum is σ = 406461638325600. Its totient is φ = 51417076838400.

The previous prime is 167339400399001. The next prime is 167339400399133. The reversal of 167339400399126 is 621993004933761.

167339400399126 is a `hidden beast` number, since 1 + 6 + 7 + 33 + 94 + 0 + 0 + 399 + 126 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43028900190 + ... + 43028904078.

It is an arithmetic number, because the mean of its divisors is an integer number (846795079845).

Almost surely, 2^{167339400399126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167339400399126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203230819162800).

167339400399126 is an abundant number, since it is smaller than the sum of its proper divisors (239122237926474).

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

167339400399126 is a wasteful number, since it uses less digits than its factorization.

167339400399126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 167339400399126 in words is "one hundred sixty-seven trillion, three hundred thirty-nine billion, four hundred million, three hundred ninety-nine thousand, one hundred twenty-six".