192501200464 has 90 divisors (see below), whose sum is σ = 388998799098. Its totient is φ = 92278915200.

The previous prime is 192501200369. The next prime is 192501200539. The reversal of 192501200464 is 464002105291.

It can be written as a sum of positive squares in only one way, i.e., 106354254400 + 86146946064 = 326120^2 + 293508^2 .

It is a super-2 number, since 2×192501200464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 731943597 + ... + 731943859.

Almost surely, 2^192501200464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192501200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194499399549).

192501200464 is an abundant number, since it is smaller than the sum of its proper divisors (196497598634).

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

192501200464 is an equidigital number, since it uses as much as digits as its factorization.

192501200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 192501200464 in words is "one hundred ninety-two billion, five hundred one million, two hundred thousand, four hundred sixty-four".