167624161152 has 384 divisors, whose sum is σ = 538225236000. Its totient is φ = 46032666624.

The previous prime is 167624161147. The next prime is 167624161157. The reversal of 167624161152 is 251161426761.

It is an interprime number because it is at equal distance from previous prime (167624161147) and next prime (167624161157).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167624161157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151148374 + ... + 151149482.

Almost surely, 2^167624161152 is an apocalyptic number.

167624161152 is a gapful number since it is divisible by the number (12) 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 167624161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269112618000).

167624161152 is an abundant number, since it is smaller than the sum of its proper divisors (370601074848).

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

167624161152 is a wasteful number, since it uses less digits than its factorization.

167624161152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1427 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 167624161152 in words is "one hundred sixty-seven billion, six hundred twenty-four million, one hundred sixty-one thousand, one hundred fifty-two".