164067157962 has 128 divisors (see below), whose sum is σ = 388292382720. Its totient is φ = 51235778880.

The previous prime is 164067157951. The next prime is 164067157979. The reversal of 164067157962 is 269751760461.

164067157962 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 6 + 7 + 1 + 579 + 62 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164067157899 and 164067157908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45483963 + ... + 45487569.

It is an arithmetic number, because the mean of its divisors is an integer number (3033534240).

Almost surely, 2^164067157962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164067157962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194146191360).

164067157962 is an abundant number, since it is smaller than the sum of its proper divisors (224225224758).

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

164067157962 is a wasteful number, since it uses less digits than its factorization.

164067157962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 164067157962 in words is "one hundred sixty-four billion, sixty-seven million, one hundred fifty-seven thousand, nine hundred sixty-two".