164899623350400 has 96 divisors (see below), whose sum is σ = 543138134442000. Its totient is φ = 43973232890880.

The previous prime is 164899623350389. The next prime is 164899623350411. The reversal of 164899623350400 is 4053326998461.

164899623350400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164899623350389) and next prime (164899623350411).

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

It is a super-3 number, since 3×164899623350400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8588512450 + ... + 8588531649.

Almost surely, 2^{164899623350400} is an apocalyptic number.

164899623350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164899623350400 is an abundant number, since it is smaller than the sum of its proper divisors (378238511091600).

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

164899623350400 is a wasteful number, since it uses less digits than its factorization.

164899623350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17177044126 (or 17177044109 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 164899623350400 in words is "one hundred sixty-four trillion, eight hundred ninety-nine billion, six hundred twenty-three million, three hundred fifty thousand, four hundred".