498153149248032 has 768 divisors, whose sum is σ = 1547124074496000. Its totient is φ = 155504671948800.

The previous prime is 498153149247947. The next prime is 498153149248037. The reversal of 498153149248032 is 230842941351894.

It is a happy number.

498153149248032 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 5 + 3 + 149 + 2 + 480 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (498153149248037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404673556857 + ... + 404673558087.

It is an arithmetic number, because the mean of its divisors is an integer number (2014484472000).

Almost surely, 2^{498153149248032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498153149248032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773562037248000).

498153149248032 is an abundant number, since it is smaller than the sum of its proper divisors (1048970925247968).

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

498153149248032 is a wasteful number, since it uses less digits than its factorization.

498153149248032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 498153149248032 in words is "four hundred ninety-eight trillion, one hundred fifty-three billion, one hundred forty-nine million, two hundred forty-eight thousand, thirty-two".