164157413611400 has 48 divisors (see below), whose sum is σ = 416362894529040. Its totient is φ = 59693604948800.

The previous prime is 164157413611379. The next prime is 164157413611403. The reversal of 164157413611400 is 4116314751461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (164157413611403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37308500894 + ... + 37308505293.

It is an arithmetic number, because the mean of its divisors is an integer number (8674226969355).

Almost surely, 2^{164157413611400} is an apocalyptic number.

164157413611400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164157413611400 is an abundant number, since it is smaller than the sum of its proper divisors (252205480917640).

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

164157413611400 is a wasteful number, since it uses less digits than its factorization.

164157413611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74617006214 (or 74617006205 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 164157413611400 in words is "one hundred sixty-four trillion, one hundred fifty-seven billion, four hundred thirteen million, six hundred eleven thousand, four hundred".