248723815102464 has 768 divisors, whose sum is σ = 762272888832000. Its totient is φ = 71484775464960.

The previous prime is 248723815102457. The next prime is 248723815102481. The reversal of 248723815102464 is 464201518327842.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154775241949 + ... + 154775243555.

It is an arithmetic number, because the mean of its divisors is an integer number (992542824000).

Almost surely, 2^{248723815102464} is an apocalyptic number.

248723815102464 is a gapful number since it is divisible by the number (24) 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 248723815102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381136444416000).

248723815102464 is an abundant number, since it is smaller than the sum of its proper divisors (513549073729536).

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

248723815102464 is a wasteful number, since it uses less digits than its factorization.

248723815102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 248723815102464 in words is "two hundred forty-eight trillion, seven hundred twenty-three billion, eight hundred fifteen million, one hundred two thousand, four hundred sixty-four".