164303442625440 has 192 divisors, whose sum is σ = 517922503128576. Its totient is φ = 43783221015552.

The previous prime is 164303442625411. The next prime is 164303442625453. The reversal of 164303442625440 is 44526244303461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164303442625440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5572804939 + ... + 5572834421.

It is an arithmetic number, because the mean of its divisors is an integer number (2697513037128).

Almost surely, 2^{164303442625440} is an apocalyptic number.

164303442625440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164303442625440 is an abundant number, since it is smaller than the sum of its proper divisors (353619060503136).

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

164303442625440 is a wasteful number, since it uses less digits than its factorization.

164303442625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37331 (or 37323 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 164303442625440 in words is "one hundred sixty-four trillion, three hundred three billion, four hundred forty-two million, six hundred twenty-five thousand, four hundred forty".