164411620566240 has 96 divisors (see below), whose sum is σ = 529940711938176. Its totient is φ = 42823491863040.

The previous prime is 164411620566229. The next prime is 164411620566251. The reversal of 164411620566240 is 42665026114461.

It is an interprime number because it is at equal distance from previous prime (164411620566229) and next prime (164411620566251).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×164411620566240³ (a number of 44 digits) contains 333 as substring.

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 164411620566240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3982819006 + ... + 3982860285.

It is an arithmetic number, because the mean of its divisors is an integer number (5520215749356).

Almost surely, 2^{164411620566240} is an apocalyptic number.

164411620566240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164411620566240 is an abundant number, since it is smaller than the sum of its proper divisors (365529091371936).

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

164411620566240 is a wasteful number, since it uses less digits than its factorization.

164411620566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965679352 (or 7965679344 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 164411620566240 in words is "one hundred sixty-four trillion, four hundred eleven billion, six hundred twenty million, five hundred sixty-six thousand, two hundred forty".