248290893692928 has 544 divisors, whose sum is σ = 782068570819200. Its totient is φ = 77630275584000.

The previous prime is 248290893692899. The next prime is 248290893692971. The reversal of 248290893692928 is 829296398092842.

248290893692928 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 90 + 89 + 369 + 2 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3395580208 + ... + 3395653328.

It is an arithmetic number, because the mean of its divisors is an integer number (1437626049300).

Almost surely, 2^{248290893692928} 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 248290893692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391034285409600).

248290893692928 is an abundant number, since it is smaller than the sum of its proper divisors (533777677126272).

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

248290893692928 is an equidigital number, since it uses as much as digits as its factorization.

248290893692928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73282 (or 73246 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 248290893692928 in words is "two hundred forty-eight trillion, two hundred ninety billion, eight hundred ninety-three million, six hundred ninety-two thousand, nine hundred twenty-eight".