248989114962 has 384 divisors, whose sum is σ = 676424466432. Its totient is φ = 64665216000.

The previous prime is 248989114961. The next prime is 248989114973. The reversal of 248989114962 is 269411989842.

248989114962 is a `hidden beast` number, since 2 + 48 + 98 + 9 + 11 + 496 + 2 = 666.

248989114962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248989114962² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 248989114962.

It is not an unprimeable number, because it can be changed into a prime (248989114961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 918778887 + ... + 918779157.

It is an arithmetic number, because the mean of its divisors is an integer number (1761522048).

Almost surely, 2^248989114962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248989114962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338212233216).

248989114962 is an abundant number, since it is smaller than the sum of its proper divisors (427435351470).

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

248989114962 is a wasteful number, since it uses less digits than its factorization.

248989114962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 248989114962 in words is "two hundred forty-eight billion, nine hundred eighty-nine million, one hundred fourteen thousand, nine hundred sixty-two".