248081694084 has 405 divisors, whose sum is σ = 779046214023. Its totient is φ = 68639133024.

The previous prime is 248081694061. The next prime is 248081694101. The reversal of 248081694084 is 480496180842.

It is a happy number.

The square root of 248081694084 is 498078.

It is a perfect power (a square), and thus also a powerful number.

248081694084 is a `hidden beast` number, since 2 + 480 + 81 + 6 + 9 + 4 + 0 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 248081694084.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3702711819 + ... + 3702711885.

Almost surely, 2^248081694084 is an apocalyptic number.

248081694084 is the 498078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248081694084

248081694084 is an abundant number, since it is smaller than the sum of its proper divisors (530964519939).

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

248081694084 is an equidigital number, since it uses as much as digits as its factorization.

248081694084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 248081694084 in words is "two hundred forty-eight billion, eighty-one million, six hundred ninety-four thousand, eighty-four".