248671129155600 has 480 divisors, whose sum is σ = 843583045229568. Its totient is φ = 62514708480000.

The previous prime is 248671129155467. The next prime is 248671129155649. The reversal of 248671129155600 is 6551921176842.

It is a super-2 number, since 2×248671129155600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026338470 + ... + 1026580730.

Almost surely, 2^{248671129155600} is an apocalyptic number.

248671129155600 is a gapful number since it is divisible by the number (20) 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 248671129155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421791522614784).

248671129155600 is an abundant number, since it is smaller than the sum of its proper divisors (594911916073968).

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

248671129155600 is a wasteful number, since it uses less digits than its factorization.

248671129155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243027 (or 243016 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 248671129155600 in words is "two hundred forty-eight trillion, six hundred seventy-one billion, one hundred twenty-nine million, one hundred fifty-five thousand, six hundred".