248150987520480 has 576 divisors, whose sum is σ = 941698960413120. Its totient is φ = 58993267507200.

The previous prime is 248150987520413. The next prime is 248150987520559. The reversal of 248150987520480 is 84025789051842.

248150987520480 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 50 + 9 + 87 + 5 + 20 + 480 = 666.

248150987520480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1703313240 + ... + 1703458920.

It is an arithmetic number, because the mean of its divisors is an integer number (1634894028495).

Almost surely, 2^{248150987520480} is an apocalyptic number.

248150987520480 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 248150987520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470849480206560).

248150987520480 is an abundant number, since it is smaller than the sum of its proper divisors (693547972892640).

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

248150987520480 is a wasteful number, since it uses less digits than its factorization.

248150987520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147795 (or 147784 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 248150987520480 in words is "two hundred forty-eight trillion, one hundred fifty billion, nine hundred eighty-seven million, five hundred twenty thousand, four hundred eighty".