163564761221400 has 768 divisors, whose sum is σ = 655681717969920. Its totient is φ = 32741452800000.

The previous prime is 163564761221321. The next prime is 163564761221413. The reversal of 163564761221400 is 4122167465361.

It is a super-2 number, since 2×163564761221400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163564761221400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172175710 + ... + 173123090.

It is an arithmetic number, because the mean of its divisors is an integer number (853752236940).

Almost surely, 2^{163564761221400} is an apocalyptic number.

163564761221400 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 163564761221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327840858984960).

163564761221400 is an abundant number, since it is smaller than the sum of its proper divisors (492116956748520).

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

163564761221400 is a wasteful number, since it uses less digits than its factorization.

163564761221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947556 (or 947547 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 163564761221400 in words is "one hundred sixty-three trillion, five hundred sixty-four billion, seven hundred sixty-one million, two hundred twenty-one thousand, four hundred".