248430517157100 has 144 divisors (see below), whose sum is σ = 723490466424320. Its totient is φ = 65816376595200.

The previous prime is 248430517157087. The next prime is 248430517157101. The reversal of 248430517157100 is 1751715034842.

It is a self number, because there is not a number n which added to its sum of digits gives 248430517157100.

It is not an unprimeable number, because it can be changed into a prime (248430517157101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27902955 + ... + 35713245.

Almost surely, 2^{248430517157100} is an apocalyptic number.

248430517157100 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 248430517157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361745233212160).

248430517157100 is an abundant number, since it is smaller than the sum of its proper divisors (475059949267220).

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

248430517157100 is a wasteful number, since it uses less digits than its factorization.

248430517157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7811000 (or 7810993 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 248430517157100 in words is "two hundred forty-eight trillion, four hundred thirty billion, five hundred seventeen million, one hundred fifty-seven thousand, one hundred".