167021042496 has 672 divisors, whose sum is σ = 594927659520. Its totient is φ = 40778035200.

The previous prime is 167021042423. The next prime is 167021042521. The reversal of 167021042496 is 694240120761.

167021042496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340164811 + ... + 340165301.

Almost surely, 2^167021042496 is an apocalyptic number.

167021042496 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 167021042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297463829760).

167021042496 is an abundant number, since it is smaller than the sum of its proper divisors (427906617024).

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

167021042496 is a wasteful number, since it uses less digits than its factorization.

167021042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 167021042496 in words is "one hundred sixty-seven billion, twenty-one million, forty-two thousand, four hundred ninety-six".