164515854300 has 288 divisors, whose sum is σ = 557576312832. Its totient is φ = 36668056320.

The previous prime is 164515854289. The next prime is 164515854323. The reversal of 164515854300 is 3458515461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74676999 + ... + 74679201.

It is an arithmetic number, because the mean of its divisors is an integer number (1936028864).

Almost surely, 2^164515854300 is an apocalyptic number.

164515854300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164515854300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278788156416).

164515854300 is an abundant number, since it is smaller than the sum of its proper divisors (393060458532).

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

164515854300 is a wasteful number, since it uses less digits than its factorization.

164515854300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 164515854300 in words is "one hundred sixty-four billion, five hundred fifteen million, eight hundred fifty-four thousand, three hundred".